Homework Help: math

Posted by amy on Wednesday, September 15, 2010 at 10:40pm.

Assume that there are 6 unfilled roles: 1 male and 5 female. There are 5 men and 7 women, including Ann, auditioning for a part in the play.

How many of these casts include Ann?

math - Reiny, Wednesday, September 15, 2010 at 10:45pm
If Ann is in, then we need 1 male from the 5 men, and 4 more females from the remaining 6 women

Number of casts = 1 x C(5,1) x C(6,4) = 75

or

number of ways with no restriction = C(5,1) x C(7,5) = 105
number of ways without Ann = C(5,1) x C(6,5) = 30

So number of ways with Ann = 105-30 = 75

Answer this Question

Related Questions

finite math - Okay,so: Assume that there are 8 unfilled roles: 3 male and 5 ...
socials - describe roles of women and men in 1950's, give reasons why these ...
COM 155 - I need help to identify the purpose of the writing below. We’ve ...
need help with these two, please - Given that loci A and B in Drosophila are sex...
genetics - need help with these genetics problems. please help with what you can...
genetics - 1. The genes for mohogany eyes and ebony body are approximately 25 ...
gr12 math - froma group of 6 ladies and 4 men, determine in how many ways a ...
Math - assume 8 males audition, one of them being Miles, 6 females audition, one...
math - from a group of women and 4 men, determine in how many ways a committee ...
re - im really struggling with this question people who agree with christianity ...

For Further Reading

First Name:
School Subject:
Answer: