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Siadellimogo
Answered

Give the step-by-step solution.

In how many ways can a committee of 6 be chosen from 6 administrators and 4 supervisors is all are equally competent?

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Sagot :

AGboiigo

Answer:

15 ways

Step-by-step explanation:

Using the combination formula:

  • C(n,r) = n! / r!(n-r)!

Given that: n = 6 , and r = 4

C(n,r) = n! / r!(n-r)!

C(6,4) = 6! / 4!(6-4)!

C(6,4) = 6! / 4!(2!)

C(6,4) = 6×5×4! / 4!×2×1

C(6,4) = 6×5 / 2×1

C(6,4) = 15

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