Question

In a group of 6 boys and 4 girls, a team consisting of four children is formed such that the team has atleast one boy. The number of ways of forming a team like this is

• A. 159
• B. 209
• C. 200
• D. 240

Answer 1

Answer: (B)

209

Answer 2

The team has atleast one boy
= Total case - No anyone boy
$={ }^{10} C_{4}-{ }^{6} C_{0}$
$=\frac{10 \times 9 \times 8 \times 7}{4 \times 3 \times 2}-1=210-1 =209$