Question

A committee of 5 people is to be formed randomly from a group of 10 women and 6 men. what is the probability that the committee has 3 women and 2 men?

Answer 1

Total no of ways in which 5 people can be selected from 10 women and 6 men = $16C_{5} = 4368$

Total no of ways in which a committee of 3 women and 2 men can be formed = $10C_{3} + 6C_{2} = 120 \times 15 = 1800$

Probability = $\frac{1800}{4368} = \frac{75}{182}$

Answer 2

Answer:

You take two resistors of resistance 2R and 3R and connect them in parallel in an electric

circuit. Calculate the ratio of the electrical power consumed by 2R and 3R?