Permutation and Combination

1.		In how many different ways can the letters of the word COMPUTER be arranged in such a way that vowels occupy only odd positions?

1440

1400

2800

5760

2.		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

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.		Find the number of squares on a chessboard?

204

200

256

128

5.		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

6.		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

7.		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

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

4200

2100

5040

2520

9.		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

10.		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