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.
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.
Hello, kwtolley!
Your answer is correct!
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.