How many ways can a chair, a recording secretary and three other committee members be selected from a group of 8 people?

Ok again this one I worked on, but came up with 1120, but I don't thinkthis is right. Thanks for checking.

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- Jul 9th 2006, 01:44 AMkwtolleyHow many ways can a chair
How many ways can a chair, a recording secretary and three other committee members be selected from a group of 8 people?

Ok again this one I worked on, but came up with 1120, but I don't thinkthis is right. Thanks for checking. - Jul 9th 2006, 03:24 AMSoroban
Hello, kwtolley!

Your answer is correct!

Quote:

How many ways can a chair, a recording secretary

and three other committee members

be selected from a group of 8 people?

I came up with 1120.

There are $\displaystyle 8$ ways to select the chairperson.

There are$\displaystyle 7$ ways to select the recording secretary.

The other 3 members are chosen from the remaining 6 people: $\displaystyle \binom{6}{3} = 20$ ways.

Therefore: .$\displaystyle 8 \times 7 \times 20 \:=\: 1120$ ways.

- Jul 10th 2006, 08:09 AMkwtolleyThanks
you for checking my answer