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
- How many straight lines can be formed from 9 points out of which 4 are colinear?
- Find the number of words that can be formed by using all letters of the word 'PAINT', if order of vowels remains same.
- Five articles out of which 3 are cups and rest are glasses have to be arranged on a shelf. Find the number of ways of arrangement in which all three cups a...
- From a group of 8 girls and 7 boys, a committee of 9 is to be formed. In how many ways can the committee be formed if it must include at least 6 girls?
- A group consists of 6 boys and 8 girls. In how many ways can 2 boys and 3 girls be selected from the group?
- Find total number of ways in which the word “TERRITORY” can be arranged.
- How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "RECLAIM"?
- Find total number of ways in which the word “POSSESSION” can be arranged.
- In how many different ways can the letters of the word 'COMPUTER' be arranged in such a way that the vowels always come together?
- Six students are to be seated in a row. Four of them are boys and the rest are girls. In how many ways can they be arranged such that the two girls do not ...
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)