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Harman [31]
3 years ago
7

help please and explain your answer please !!!!!!!!!!! Houston Elementary School is selecting students to be in the winter festi

val show. There are 4 roles left but there are 12 students interested in the roles. How many combinations of the twelve students can be chosen for the four remaining roles? A. 505 B.495 C.48 D.16
Mathematics
2 answers:
frosja888 [35]3 years ago
8 0
See the attached picture for answer:

kiruha [24]3 years ago
6 0

Answer: 495

Step-by-step explanation:

nCr = n!/(n-r)!r!

12C4 = 12!/(12-4)!4!

=12!/8!4!

= 12 ×11×10×9×8! / 8!4!

8! at the numerator will cancel that of denominator

= 12×11×10×9 / 4!

=11880/4×3×2

=11880/24

=495

Therefore; 12C4 = 495

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makkiz [27]
♥ Let's solve:

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3 years ago
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The common difference of an ap is -2 find its sum of first term is hundred and last term is minus 10
Bas_tet [7]

Answer:

The sum of the arithmetic progression is 2520

Step-by-step explanation:

The sum, Sₙ, of an arithmetic progression, AP, is given as follows;

S_{n}=\dfrac{n}{2}\cdot \left (2\cdot a+\left (n-1  \right )\cdot d  \right )

Where;

n = The nth term of the progression

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d = The common difference = -2

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Which gives;

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4 years ago
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