Question

7 people are selected randomly from a group of 25 women and 10 men to form a committee. Find the probability that the committee consists of 4 men and 3 women.

Answer 1

\[\frac{\dbinom{10}{4}\dbinom{25}{3}}{\dbinom{35}{7}}\]

Answer 2

thats right

Answer 3

of course this does not give you the answer, it just tell you what you need to compute,
the number of ways to choose 4 men from 10 times the number of ways to choose 3 women out of 25 divided by the number of ways to choose 7 people from a set of 35

Answer 4

do you know how to find these numbers?

Answer 5

no. is this the conditional type of questions?

Answer 6

@satellite73 is it (9.10/6)(24.25/22) / (34.35/28)

Answer 7

\[\dbinom{10}{4}=\frac{10\times9\times 8\times 7}{4\times 3\times 2}\]

Answer 8

answer is 0.071

Answer 9

for the male it is 45?

Answer 10

45/35

Answer 11

easy with a calculator
\[\dbinom{10}{4}=210\]
\[\dbinom{25}{3}=2300\]
\[\dbinom{35}{7}=6724520\]

Answer 12

yup

Answer 13

\[\frac{210\times 2300}{6724520}\]