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.		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

3.		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

4.		In how many ways can 3 prizes be distributed among 4 boys, if no boy gets more than one prize?

12

16

24

32

5.		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

6.		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

7.		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

8.		In how many ways can the letters of the word SPECIAL be arranged using only 4 letters at a time?

2520

210

840

1260

9.		In how many ways 3 children can be selected from a group of 5 boys and 3 girls such that at least 1 boy should be there?

55

60

45

30

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

64

63

112

60