Question

In how many ways a committee of 5 members to be formed out of 6 boys and 4 girls, if: (i) two girls are included in the committee (ii) at least 2 girls in the committee

Answer 1

Answer:

(i) 120 (ii) 336

Step-by-step explanation:

(i) Two girls are included

Choose 2 girls from the 4 girls = 4C2 = 6

Choose 3 more from the 6 boys = 6C3 = 20

Number of ways = 6 x 20 = 120

(ii) At least 2 girls are included:

Choose 2 girls from the 4 girls = 4C2 = 6

Choose 3 more from the remaining 2 girls and boys = 8C3 = 56

Number of ways = 6 x 56 = 336

Answer: (i) 120 (ii) 336