Permutation and Combination

Learn and practice Problems on Permutation and Combination with easy explaination and shortcut tricks. All questions and answers on Permutation and Combination covered for various Competitive Exams.

Problems on Permutation and Combination:

1) In what ways the letters of the word “RUMOUR” can be arranged?

1. 180
2. 150
3. 200
4. 230

2) In what ways the letters of the word “PUZZLE” can be arranged to form the different new words so that the vowels always come together?

1. 280
2. 450
3. 630
4. 240

3) In what ways can a group of 6 boys and 2 girls be made out of the total of 7 boys and 3 girls?

1. 50
2. 120
3. 21
4. 20

4) Out of a group of 7 boys and 6 girls, five boys are selected to form a team so that at least 3 boys are there on the team. In how many ways can it be done?

1. 645
2. 734
3. 756
4. 612

5) A box contains 2 red balls, 3 black balls, and 4 white balls. Find the number of ways by which 3 balls can be drawn from the box in which at least 1 black ball should be present.

1. 64
2. 48
3. 32
4. 96

6) Out of 7 constants and 4 vowels, how many words of 3 constants and 2 vowels can be formed?

1. 21020
2. 25200
3. 10500
4. 21400

More Problems:

7) How much 4-digit number can be formed from the digits 2, 3, 4, 5, 6, and 7 which are divisible by 5 in such a way that digits should not repeat.

1. 25
2. 30
3. 35
4. 60

8) In what ways the letters of the word “CRICKET” can be arranged to form the different new words so that the vowels always come together?

1. 120
2. 240
3. 360
4. 480

9) In what ways the letters of the word ?MACHINE? can be arranged so that the vowels occupy only the odd positions?

1. 212
2. 326
3. 576
4. 400

10) In what ways the letters of the word ?ACTORS? can arrange so that the vowels occupy only the even positions?

1. 212
2. 144
3. 576
4. 400