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 3 prizes be distributed among 4 boys, when no boy gets all the prizes?

64

63

112

60

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

2520

210

840

1260

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

20

24

26

120

5.		How many numbers greater than 5000 can be made out of the digits 2, 3, 5 and 6 if the digits are not to be repeated?

6

12

24

18

6.		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

7.		In how many ways can 6 similar toffees be distributed to 4 children, such that every child receives at least one toffee?

10

15

18

12

8.		5 people are to be arranged in a circle. Find the number of ways such that two particular persons never stand together.

18

15

12

8

9.		Find the number of squares on a chessboard?

204

200

256

128

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