Race Institute

#38, Burkit Road,

Opposite to bus terminal,

Thyagaraya Nagar

Chennai - 600 017.






Contact Person:

Bharath Seeman

Permutation and Combination


1.If 6 boys and 6 girls have to sit in a round circular music chair. So, that there is a girl between every 2 boys. Find the number of ways they can sit?

A. 6! × 5!

B. 6! × 4!

C. 6! × 3!

D. 6! × 2!

2.On five chairs arranged in a row, five persons A, B, C, D and E are to be seated in such a way that B and D are always together. Then how many different ways can be done?

A. 120

B. 48

C. 66

D. 24

3.How many three digit numbers can be formed by using the digits in 755628. If repetition not allowed.

A. 100

B. 120

C. 150

D. 180

4.Find the number of different words that can be formed from the word ‘SUCCEED’

A. 1390

B. 1400

C. 1320

D. 1260

5.How many 3-letter words with or without meaning, can be formed by using all the letters of the word ‘LOGORITHMS’, if repetition of letters is not allowed?

A. 700

B. 720

C. 750

D. 760

6.What is the number of words formed from the letters of the word ‘JOKE’ So that the vowels and consonants alternate?

A. 4

B. 8

C. 12

D. None of these

E. b

7.There are 4 red, 3 black, 2 blue chocolates in a bowl. They are taken one by one and arranged in a row. Assuming that all the 9 chocolates are taken. Determine the number of different arrangements?

A. 1250

B. 1260

C. 277

D. 2900

8.How many rectangles can be formed on a chess board?

A. 1248

B. 1264

C. 1296

D. 1292

9.In a football Championship 153 matches were played. Every team played one match with each other team. How many teams participated in the Championship?

A. 21

B. 18

C. 17

D. 15

10.A team of 5 children is to be selected out of 4 girls and 5 boys such that it contains at least 2 girls. In how many different ways the selections can be made?

A. 75

B. 85

C. 95

D. 105