Question
11 people decided to spend an afternoon in two groups. A group of them decided to go to the theater and the remaining decided to play tennis. In how many ways can the group for tennis be formed? If there must be at least four people in each group?
type-ssc
Case II- When 5 persons in tennis and rest in theatre number of ways= 11 C5 × 6 C6 
Case III-When 6 persons in tennis and rest in theatre= =11C6 × 5 C5 =462 Case IV-When 7 persons in tennis and rest in theatre =11C7 × 4 C4 =330 ways. Total number of ways =2(330+462) =2(792) =1584waysMore Permutation and combination Questions
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