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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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Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x
charle [14.2K]

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

             a = 5

             b = x - 1

             c = x

Step:1

      Pythagorean theorem is,

              a^{2} + b^{2} = c^{2}................................(1)

      (  It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

      From the given values the equation (1) becomes,

                       5^{2} + (x-1) ^{2} = x^{2}

                             ( (a-b)^{2} = a^{2}  + b^{2} -2ab )

               25 + ( x^{2} + 1 - 2x ) = x^{2}

                           25 + 1 -2x = 0               ( ∵ Eliminate x^{2} in both sides)

                                     26 = 2x

                                       x = 13

Step:2

        From the values of x,

                   a = 5

                    b = ( 13 - 1 ) = 12

                   c = 13

Result:

            The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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