# Permutation Combination Questions

Solve Permutation and Combination Aptitude Questions and do practice for the competitive examination. You can easily solve out these Permutation Combination Questions, if you know the basic concept and short tricks used for these types of questions. Objective type exercise is given in the below section, you can also match your selected options with the given answers that are available at the end of this page.

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Permutation and Combinations Tips and Tricks:

• Permutation is used, if a question calls for the number of arrangements of objects and different orders are to be counted.
• Combinations is used, if a question calls for the number of ways of selecting objects and the order of selection is not to be counted.

Formula to use:

 Order Repetition Formula Permutation Yes nr Permutation No npr Combination Yes r + n – 1Cr Combination No nCr

## Permutation Combination Questions

Answers for these questions are available at the end.

Question 1) How many 4-letter words with or without meaning can be formed out of the letters of the world, ‘LOGARITHMS’, if repetitions of letters is not allowed?

(A) 40

(B) 400

(C) 5040

(D)  6525

Question 2) In how many different ways can the letters of the word ‘DETAIL’ be arranged in such a way that the vowels occupy only the odd positions?

(A) 23

(B) 32

(C) 36

(D) 60

(E) None of these

Question 3) How many words can be formed by using all the letters of the word, ‘ALLAHABAD’?

(A) 3652

(B) 5580

(C) 7560

(D) 6320

Question 4) In how many different ways can the letters of the word ‘SOFTWARE’ be arranged in such a way that the vowels always come together?

(A) 150

(B) 240

(C) 360

(D) 1325

(E) 720

Question 5) How many words with or without meaning, can be formed by using all the letters of the world, ‘DELHI’, using each letter exactly once?

(A) 25

(B) 35

(C) 60

(D) 120

Question 6) In how many different ways can the letters of the word ‘AUCTION’ be arranged in such a way that the vowels always come together?

(A) 65

(B) 85

(C) 165

(D) 576

(E) None of these

Question 7) How many 3-digit numbers can be formed from the digit 2,3,5,6,7 and 9, which are divisible by 5 and none of the digits is repeated?

(A) 5

(B) 10

(C) 15

(D) 20

Question 8) How many arrangements can be made out of the letters of the word ‘ENGINEERING’?

(A) 277200

(B) 92400

(C) 65248

(D) 54658

Question 9) In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?

(A) 20080

(B) 4985895

(C) 120960

(D) None of these

Question 10) In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

(A) 2856

(B) 5648

(C) 11760

(D)  12568

Question 11) Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

(A) 320

(B) 450

(C) 25200

(D) 15920

Question 12) In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?

(A) 850

(B) 940

(C) 2985

(D) 50400

(E) None of these

Question 13) From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

(A) 587

(B) 687

(C) 795

(D) 756

Question 14) In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?

(A) 1586

(B) 1540

(C) 1648

(D) 1648

Question 15) The value of 75P2 is:

(A) 2779

(B) 6520

(C) 5550

(D) None of these

Get Here Important: Mensuration Questions and Answers

Question 16) In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

(A) 63

(B) 98

(C) 65

(D) 57

Question 17) How many words can be formed from the letters of the word ‘SIGNATURE’ so that the vowels always come together?

(A) 750

(B) 1450

(C) 2880

(D) 9823

(E) 17280

Question 18) In how many different ways can the letters of the word ‘BANKING’ be arranged so that the vowels always come together?

(A) 220

(B) 260

(C) 450

(D)  525

(E) 720

Question 19) In how many different ways can the letters of the word ‘RUMOUR’ be arranged?

(A) 180

(B) 360

(C) 540

(D) 620

Solve Out: Discount Questions and Answers

Question 20) In how many ways can the letters of the word ‘LEADER’ be arranged?

(A) 90

(B) 120

(C) 360

(D) 720