Question

In how many ways can a group of 5 boys and 6 girls be formed out of 10 boys and 11 girls?

Options

• ¹⁰C₅ × ¹¹C₂

• ¹⁰C₂ × ⁶C₅

• ¹⁰C₅ × ⁶C₁₁

• ¹⁰C₅ × ¹¹C₆

Answer 1

¹⁰C₅ × ¹¹C₆ 

Explanation:

5 boys can be selected from 10 boys in ¹⁰C₅ ways and 6 girls can be selected from 11 girls in ¹¹C₆ ways.

∴  Total no. of ways = ¹⁰C₅ × ¹¹C₆