Permutation and Combination

1.		A child is asked to pick four coins from a bag containing one coin each of Re. 1, 50p, 25p 10p, 5p, 2p and 1p coins. How many different combinations of the coins can he pick?

210

36

35

70

2.		Out of group of 4 persons 2 particular persons always come together. Find the total number of ways in which this can be done.

16

10

14

12

3.		In how many ways, 6 girls may be selected for a team out of 12 girls in a class so that 2 particular girls (captain and vice-captain) are always there in the team?

360

210

240

120

4.		In how many ways 4 persons can be seated on 4 chairs?

20

24

26

120

5.		In how many ways can 3 prizes be distributed among 4 boys, when no boy gets all the prizes?

64

63

112

60

6.		In an entrance examination paper, 5 questions on Maths were asked. In how many ways students could attempt paper such that at least one question has to be attempted?

120

63

32

31

7.		How many five digits numbers divisible by 5 can be formed from digits 2, 1, 0, 7, 5 if the digits are not to be repeated?

36

24

42

120

8.		How may four-digit numbers can be made out of the digits 1, 2, 3 and 9 which are less than 3000, if repetition of the digits allowed?

144

288

128

256

9.		In how many different ways can the letters of the word COMPUTER be arranged in such a way that vowels occupy only odd positions?

1440

1400

2800

5760

10.		Out of 2 Women and 5 Men, a committee of 3 is to be formed. In how many ways can it be formed if at least one woman is to be included in the committee?

10

15

25

30