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Question 21 (4 points)
A committee of 4 is to be formed from 9 students and 15 teachers. What is the
probability that the committee consists of 2 students and 2 teachers?

Respuesta :

MathPhys

Step-by-step explanation:

There are ₉C₂ ways to choose 2 students from 9.

There are ₁₅C₂ ways to choose 2 teachers from 15.

There are ₂₄C₄ ways to choose 4 people from 24.

Therefore, the probability is:

P = ₉C₂ ₁₅C₂ / ₂₄C₄

P = 36 × 105 / 10626

P ≈ 0.356

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