Saturday

December 20, 2014

December 20, 2014

Posted by **Ashley** on Saturday, December 5, 2009 at 7:01pm.

There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?

License plates are made using 3 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed.

At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and 5 people from town C. If a council consisting of 5 people is randoml selected, find the probabilit that 3 are from town A and 2 are from town B.

- Math - Please Help Me! -
**MathMate**, Sunday, December 6, 2009 at 9:30amThe auditor chooses the first return out of 11, that makes 11 choices. For the second, she is left with 10, so there are 11*10 ways. For the third, she has 9 returns left from which to choose, so there are 11*10*9=990 ways to choosing the first 3 returns.

However, out of the 990 ways to choose the returns, each combination (say A,B,C) would have been repeated in 6 different orders, like ABC, BAC, CAB, BCA, ACB, CBA. The number of repetitions can be calculated by 6=3!, where three is the number of returns chosen.

Thus the number of ways she can choose 3 returns would be

11*10*9/3!=990/6=165.

It's your turn to choose the sub-committees and try the rest of the exercises.

If you have difficulties, post what you have or what the difficulties are.

- Math - Please Help Me! -
**bluestar**, Wednesday, December 16, 2009 at 5:50pmi need help me on math

like 2+2=

**Answer this Question**

**Related Questions**

math - How many ways can an IRS auditor select 4 of 8 tax returns for an audit?

Math Essentials - How many ways can an IRS auditor select 4 of 9 tax returns for...

math - how many ways can an IRS auditor select 3 of 11 tax returns for an audit...

statistics - how many ways can an IRS auditor select 5 of 12 tax returns for an ...

Math Word Problems - How many ways can an IRS auditor select 3 of 11 tax returns...

Math - How many ways can an IRS auditor select 3 of 11 tax returns for an audit...

math - I have a question about the formula for this problem:How many ways can an...

Research &Evaluation - Need help on the following question...Please How many ...

math - A board of directors consisting of eight members is to be chosen from a ...

statistics - i have a test tomorrow so i need to know how to do this problem. ...