chapter 6-combinations

The Parents-Teachers Association of a school has a committee of 3 teachers and 5 parents. Find the number of different such committees that can be formed from 10 teachers and 15 parents ?

(a)  

A school has a committee of 3 male teachers and 2 female teachers. Find the number of different such committees that can be formed from 8 male teachers and 11 female teachers ?

(a)  

Lim is given a chance to choose 4 subjects from the 8 subjects offered in a course. Find the number of combinations she can make?

(a)  

A committee of 5 members are to be chosen from 12 candidates. In how many ways can the committee be formed ?

(a)  

"A B C D 1 2 3"

A code is made up of 2 letters and 1 digits. Find the number of ways it can be.

(a)  

Find the number of ways of choosing at least 1 colour from 3 colours to paint the poster.

(a)  

In a class of 8 boys and 6 girls, 4 boys and 3 girls or 3 boys and 4 girls are to be chosen to form a committee. In how many ways can the committee be formed ?

(a)  

12 students are divided into three groups that consists of 5, 4 and 3 students respectively. Find the number of ways of forming the three groups.

(a)  

A committee that consists of 6 members is to be selected from 7 teachers and 5 parents. Find the members of different committees that can be formed if it consists of not more than 2 teachers.

(a)  

Find the number of ways of choosing 4 letters including the letter O from the word ‘OBJECT’

(a)