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?
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
- A committee of 5 members is to be formed out of 6 men and 4 women. In how many ways can a committee consisting of atleast 1 woman be formed?
- How many different words can be formed with the letters of the word PRACTICE such that each of the word begin with E and ends with R?
- How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "READING"?
- Out of 6 men and 3 women a committee of 3 members is to be formed so that it has 2 men and 1 woman. In how many different ways can this be done?
- A committee of 6 members is to be formed from a group of 7 men and 5 women. In how many ways can the committee be formed such that it contains at least 4 m...
- In how many distinct ways can the letters of the word “AIRPORT” be arranged so that the two R’s are never together?
- In how many ways can 4 boys and 3 girls can be seated in a row so that they are in alternate position.
- How many different arrangements of the letters of the word BALLOON are possible if all vowels are together?
- Nine boys have to stand in a circle. In how many ways they are to be stand on the circumference of circle?
- A box contains 5 red, 4 blue, and 3 green balls. In how many ways can 4 balls be chosen from the box such that exactly 2 of them are red?
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)