Practice section 2 of 10

In how many ways can the letters of the word STATISTICS be arranged?

In how many ways can the letters of the word MATHEMATICS be arranged?

From a group of 11 people, how many ways can one form a committee of (i) 7 people, (ii) 4 people?

Find the number of ways to select 3 of the 5 people to form a community.

A class consists of 8 girls and 10 boys. How many committees of 4 can be formed if

(i) there are no restrictions,

(ii) the committee has at most 1 boy,

(iii) the committee must have at least 1 girl,

(iv) Boy A or Girl B must be in the committee?

A committee of 3 people is to be chosen from 4 married couples. Find the number of ways in which this committee can be chosen if

(i) all are equally eligible,

(ii) the committee must consist of 1 woman and 2 men,

(iii) all are equally eligible except that any husband and wife cannot both serve in the committee.