B.7 Conditional Capacity

  1. Form 11-member committe from two groups of 6 & 8 players keeping at least 4 members from 6-members team. How many ways?
  2. Allocate 9 people in 2 cars, whose capacity are 7 & 4.
6-members 8-members Total (11) Combination
4 7 11 \(^6C_4 \times ^*C_7\)
5 6 11
6 5 11