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.		In how many ways can a dinner be organized with 4 men and 4 women at a circular table so that no two women are adjacent?

288

144

72

36

3.		A box contains 2 white balls, 5 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

135

145

70

85

4.		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

5.		How many five-digit numbers divisible by 11 can be formed out of 3, 4, 5, 6 and 7 if the digits are not to be repeated?

10

12

13

None of these

6.		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

7.		In how many ways can 3 prizes be distributed among 4 boys, when a boy may get any number of prizes?

12

64

24

56

8.		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

9.		How many three-digit numbers divisible by 3 can be formed out of the digits 3, 4, 5 and 6 if the digits are not to be repeated?

18

12

24

36

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

20

24

26

120