Permutation and Combination

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

12

16

24

32

2.		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

3.		In how many ways can a group of 4 boys and 2 girls be formed out of a total of 7 boys and 4 girls?

210

120

224

420

4.		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

5.		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

6.		Find the number of squares on a chessboard?

204

200

256

128

7.		How many words can be formed from the letters of the word "ENGINEERING", so that vowels always come together?

4200

2100

5040

2520

8.		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

9.		How many six digit numbers can be formed using the digits 0 to 6 (both inclusive), using digits at most once, such that the numbers are divisible by 3?

1200

1800

1920

1690

10.		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