Permutation and Combination

1.		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

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

12

16

24

32

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.		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

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

20

24

26

120

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.		Find the number of squares on a chessboard?

204

200

256

128

8.		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

9.		In how many ways can 3 boys and 4 girls be arranged in a row such that boys occupy at the ends?

420

360

840

720

10.		In a party, every guest shakes hand with every other guest. If there were total of 66 handshakes in the party, find the number of persons present in the party?

12

33

22

11