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Emergency!!!
Emergency!!!
Emergency!!!
Sally is becoming a in a month, but she has
to prepare anything perfectly herself because her
future is in New York working and he won’t
be back until days before the wedding.
She has to choose some to show her parents in law.
She wants the best wedding ever and that’s making her freaking out because of stress…
Could you help her???
First bridal store…
Too much white, she wants something different..
First bridal store…
The next store…with 385 colorful formal dresses
The next store…with 385 colorful formal dresses
Colorful… that could work, let’s go!!!
Baby blue
Baby blue
38 blue dresses
Baby blue or Royal blue
38 blue dresses
Baby blue or Royal blue
38 blue dresses
29 royal blue dresses
80 purple dresses.
80 purple dresses.
53 peach dresses
80 purple dresses.
87 yellow dresses.
53 peach dresses
80 purple dresses.
87 yellow dresses.
98 pink dresses
53 peach dresses
Which one should I choose?? They all very
nice… I just want to take all of them..
Which one should I choose?? They all very
nice… I just want to take all of them..
Question: If Sally wants to choose 2 dresses from each color so she could have 12 dresses to show her future parents in law.
How many ways can Sally choose the dresses?
Which one should I choose?? They all very
nice… I just want to take all of them..
Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her
solve this problem.
Calculation base on TI-84 plus.
Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her
solve this problem.
• The blue dress:
Calculation base on TI-84 plus.
Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her
solve this problem.
• The blue dress:
38C2 =
Calculation base on TI-84 plus.
Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her
solve this problem.
• The blue dress:
38C2 = (38-2)! – 2!38!
=
Calculation base on TI-84 plus.
Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her
solve this problem.
• The blue dress:
38C2 = (38-2)! – 2!38!
=38!
36! – 2! =
Calculation base on TI-84 plus.
Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her
solve this problem.
• The blue dress:
38C2 = (38-2)! – 2!38!
=38!
36! – 2! =38 x 37 x 36!
36! – 2! =
Calculation base on TI-84 plus.
Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her
solve this problem.
• The blue dress:
38C2 = (38-2)! – 2!38!
=38!
36! – 2! =38 x 37 x 36!
36! – 2! =
Calculation base on TI-84 plus.
36! and 36! reduced, 2! = 2 x 1 = 2 We can reduced 38 and 2, then we have 19 left in the numerator.
Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her
solve this problem.
• The blue dress:
36! and 36! reduced,
2! = 2 x 1 = 2
We can reduced 38 and 2, then we have 19 left in the numerator.
38C2 = (38-2)! – 2!38!
=38!
36! – 2! =38 x 37 x 36!
36! – 2! = 19 x 37 = 703
Calculation base on TI-84 plus.
Solve: For each color, Sally just can take 2 dresses, and it doesn’t matter which dresses she chooses first, so we use the “Choose” formula to help her
solve this problem.
• The blue dress:
36! and 36! reduced,
2! = 2 x 1 = 2
We can reduced 38 and 2, then we have 19 left in the numerator.
38C2 = (38-2)! – 2!38!
=38!
36! – 2! =38 x 37 x 36!
36! – 2! = 19 x 37 = 703
Or you could just plug the number into your calculator, math -> PRB -> 4 for the factorial sign [!] and 3 for the “choose” formula.
Calculation base on TI-84 plus.
• Similarly to the royal blue, purple, peach, yellow, and pink dresses. We get:
• Similarly to the royal blue, purple, peach, yellow, and pink dresses. We get:
• Royal blue dresses = 29C2 = 406
• Similarly to the royal blue, purple, peach, yellow, and pink dresses. We get:
• Royal blue dresses = • Purple dresses =
29C2 = 406 80C2 = 3160
• Similarly to the royal blue, purple, peach, yellow, and pink dresses. We get:
• Royal blue dresses = • Purple dresses = • Peach dresses =
29C2 = 406 80C2 = 3160
53C2 = 1378
• Similarly to the royal blue, purple, peach, yellow, and pink dresses. We get:
• Royal blue dresses = • Purple dresses = • Peach dresses = • Yellow dresses =
29C2 = 406 80C2 = 3160
53C2 = 1378
87C2 = 3741
• Similarly to the royal blue, purple, peach, yellow, and pink dresses. We get:
• Royal blue dresses = • Purple dresses = • Peach dresses = • Yellow dresses = • Pink dresses =
29C2 = 406 80C2 = 3160
53C2 = 1378
87C2 = 3741
98C2 = 4753
• Similarly to the royal blue, purple, peach, yellow, and pink dresses. We get:
• Royal blue dresses = • Purple dresses = • Peach dresses = • Yellow dresses = • Pink dresses =• Blue dresses = 703
29C2 = 406 80C2 = 3160
53C2 = 1378
87C2 = 3741
98C2 = 4753
• Similarly to the royal blue, purple, peach, yellow, and pink dresses. We get:
• Royal blue dresses = • Purple dresses = • Peach dresses = • Yellow dresses = • Pink dresses =• Blue dresses = 703
29C2 = 406 80C2 = 3160
53C2 = 1378
87C2 = 3741
98C2 = 4753
• Similarly to the royal blue, purple, peach, yellow, and pink dresses. We get:
• Royal blue dresses = • Purple dresses = • Peach dresses = • Yellow dresses = • Pink dresses =• Blue dresses = 703
29C2 = 406 80C2 = 3160
53C2 = 1378
87C2 = 3741
98C2 = 4753
Add them up together to get the number of ways Sally can choose the dresses.
• Similarly to the royal blue, purple, peach, yellow, and pink dresses. We get:
• Royal blue dresses = • Purple dresses = • Peach dresses = • Yellow dresses = • Pink dresses =• Blue dresses = 703
29C2 = 406 80C2 = 3160
53C2 = 1378
87C2 = 3741
98C2 = 4753
Add them up together to get the number of ways Sally can choose the dresses.
406 + 3160 + 1378 + 3741 + 4753 + 703 = 14141 ways
After spending a day at the bridal store, finally Sally got something to show her parents in law. they seem really happy with this but the cost they have to pay isn’t small… they can’t afford
that. If Sally wants her dream comes true, having a huge and perfect wedding, she has to find out ways to pay for the dresses.
Next step….
Banks… she has to have $78,000 for everything in the wedding. Now she just has $30,000 in her account. What is the money she has to pay if she loans each of the bank above?
Next step….
Banks… she has to have $78,000 for everything in the wedding. Now she just has $30,000 in her account. What is the money she has to pay if she loans each of the bank above?
0.715% interest, pay back in 1 year.
Next step….
Banks… she has to have $78,000 for everything in the wedding. Now she just has $30,000 in her account. What is the money she has to pay if she loans each of the bank above?
1.05% interest, pay back in 5 years
0.715% interest, pay back in 1 year.
Next step….
Banks… she has to have $78,000 for everything in the wedding. Now she just has $30,000 in her account. What is the money she has to pay if she loans each of the bank above?
1.05% interest, pay back in 5 years
0.715% interest, pay back in 1 year. 2.9% interest, pay back in 2 year.
Next step….
Banks… she has to have $78,000 for everything in the wedding. Now she just has $30,000 in her account. What is the money she has to pay if she loans each of the bank above?
0.75% interest, pay back in 3 years
1.05% interest, pay back in 5 years
0.715% interest, pay back in 1 year. 2.9% interest, pay back in 2 year.
Next step….
0.75% interest, pay back in 3 years.
Calculation base on TI-84 plus.
0.75% interest, pay back in 3 years.
• Use A = P x ( 1 + )rn
t x n
Calculation base on TI-84 plus.
0.75% interest, pay back in 3 years.
• Use A = P x ( 1 + )rn
t x n
Sally needs to loan $78,000 - $30,000 = $48,000
Calculation base on TI-84 plus.
0.75% interest, pay back in 3 years.
• Use A = P x ( 1 + )rn
t x n
Sally needs to loan $78,000 - $30,000 = $48,000
P = 48,000
r =
n = 12 x 3 = 36
t = 3
0.75100
= 0.075
Calculation base on TI-84 plus.
0.75% interest, pay back in 3 years.
• Use A = P x ( 1 + )rn
t x n
Sally needs to loan $78,000 - $30,000 = $48,000
P = 48,000
r =
n = 12 x 3 = 36
t = 3
0.75100
= 0.075
A = 48,000 x ( 1 + ) =0.07536
3 x 36
Calculation base on TI-84 plus.
0.75% interest, pay back in 3 years.
• Use A = P x ( 1 + )rn
t x n
Sally needs to loan $78,000 - $30,000 = $48,000
P = 48,000
r =
n = 12 x 3 = 36
t = 3
0.75100
= 0.075
A = 48,000 x ( 1 + ) =0.07536
3 x 36
$60,097.43
Calculation base on TI-84 plus.
1.05% interest, pay back in 5 years
• Use A = P x ( 1 + )
1.05% interest, pay back in 5 years
rn
t x n
Calculation base on TI-84 plus.
• Use A = P x ( 1 + )• This time,
P = 48,000
r =
n = 12 x 5 = 60
t = 5
1.05% interest, pay back in 5 years
1.05100
rn
t x n
= 0.0105
Calculation base on TI-84 plus.
• Use A = P x ( 1 + )• This time,
P = 48,000
r =
n = 12 x 5 = 60
t = 5
A = 48,000 x (1 + )
1.05% interest, pay back in 5 years
1.05100
0.010560
5 x 60
rn
t x n
= 0.0105
Calculation base on TI-84 plus.
• Use A = P x ( 1 + )• This time,
P = 48,000
r =
n = 12 x 5 = 60
t = 5
A = 48,000 x (1 + )
1.05% interest, pay back in 5 years
1.05100
0.010560
5 x 60
= $50,587.09
rn
t x n
= 0.0105
Calculation base on TI-84 plus.
0.715% interest, pay back in 1 year.
• Use A = P x ( 1 + )rn
t x n
0.715% interest, pay back in 1 year.
Calculation base on TI-84 plus.
• Use A = P x ( 1 + )• P = 48,000 r = = 0.00715 n = 12 x 1 = 12 t = 1
rn
t x n
0.715% interest, pay back in 1 year.
0.715100
Calculation base on TI-84 plus.
• Use A = P x ( 1 + )• P = 48,000 r = = 0.00715 n = 12 x 1 = 12 t = 1
rn
t x n
0.715% interest, pay back in 1 year.
0.715100
A = 48,000 x ( 1 + )0.0071512
1 x 12
Calculation base on TI-84 plus.
• Use A = P x ( 1 + )• P = 48,000 r = = 0.00715 n = 12 x 1 = 12 t = 1
rn
t x n
0.715% interest, pay back in 1 year.
0.715100
A = 48,000 x ( 1 + ) = $48,344.330.0071512
1 x 12
Calculation base on TI-84 plus.
2.9% interest, pay back in 2 year.
• Use A = P x ( 1 + )
rn
t x n
2.9% interest, pay back in 2 year.
Calculation base on TI-84 plus.
• Use A = P x ( 1 + )
P = 48,000
r = = 0.029
n = 12 x 2 = 24
t = 2
rn
t x n
2.9% interest, pay back in 2 year.
2.9100
Calculation base on TI-84 plus.
• Use A = P x ( 1 + )
P = 48,000
r = = 0.029
n = 12 x 2 = 24
t = 2
rn
t x n
2.9% interest, pay back in 2 year.
2.9100
A = 48,000 x ( 1 + ) = 0.02924
2 x 24
Calculation base on TI-84 plus.
• Use A = P x ( 1 + )
P = 48,000
r = = 0.029
n = 12 x 2 = 24
t = 2
rn
t x n
2.9% interest, pay back in 2 year.
2.9100
A = 48,000 x ( 1 + ) = $50,864.540.02924
2 x 24
Calculation base on TI-84 plus.
Huray!! Now Sally knows what Huray!! Now Sally knows what she should do… she’ll have her she should do… she’ll have her
dream comes true. Thanks dream comes true. Thanks guys for helping her.guys for helping her.
Made by TrinhNguyen
Made by TrinhNguyen
Made by TrinhNguyen
The End
