1.

In how many different number of ways 4 boys and 2 girls can sit on a bench?

2.

In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?

3.

In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.

4.

In how many different ways can the letters of the word "CLAIM" be rearrangement?

5.

If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE.

6.

How many arrangements of the letters of the word BEGIN can be made, without changing the place of the vowels in the word?

7.

If all the numbers 2, 3, 4, 5, 6, 7, 8 are arranged, find the number of arrangements in which 2, 3, 4, are together?

8.

Find ^{10}P_{6}

9.

Find ^{9}P_{3}

10.

Find ^{7}P_{7}

11.

Find ^{4}C_{2}?

12.

Find ^{102}C_{99}?

13.

In how many different number of ways the letters of the word 'ENGINEERING' can be arranged.

14.

In how many different number of ways a combination of 3 persons can be selected from 4 men and 2 women.

15.

In how many different number of ways a combination of 3 men and 2 women can be selected from 6 men and 5 women.

16.

In how many different number of ways a Committee of 3 person of can be selected from 5 men and 3 women such that atleast 1 women is included in the committee.

17.

In how many different ways can the letters of the word 'SCHOOL' be arranged so that the vowels always come together?

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