JEE Advanced2016MathematicsPermutation and CombinationActual
A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is
Options
- A380
- B320
- C260
- D95
Correct answer
A. 380
Step-by-step solution
There are 2 cases- i. All the 4 are girls ii. 3 girls and 1 boy So the answer is 6 C 4 + 6 C 3 . 4 C 1 . 4 C 1 = 380 ( 4 C 1 = No. of ways of selecting captain)