Question

There are 12 boys and 6 girls.
i) In how many ways a committe of 5
can be formed
(ii) In how many of these committee such
that there are 2 boys and 3 girls.
​

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