Question

If a committee has eight members
(1) How many ways can the comittee member be
selected in a row?
(2) How many ways can the comittee select a presisdent
vice presisdent and secretary?​

Answer 1

Answer;

a committee of 8 person, a chairman and a vice chairman are to be chosen in such a way that one person cannot hold more than one position.

Here, the number of ways of choosing a chairman is the permutation of 8 different objects taken 2 at a time.

Thus, required number of ways=  

8

P  

2

​  

=  

(8−2)!

8!

​  

=  

6!

8!

​  

=  

6!

8×7×6!

​  

=8×7=56