Find the number of arrangements of the letters of the word INDEPENDENCE with the condition that the words begin with I and end with P.

6 boys and 6 girls are to be seated in a raw, how many ways can they be seated if no two girls should be seated together.

If repetition are not allowed then how many four digits numbers can be formed from 1, 2, 3, 5, 7 & 8 such that each number containing 3 and 5?

The number of ways in which 3 card can be chosen from 8 cards is _____.

Out of 6 boys and 4 girls in how many ways a committee of five members can be formed in which there are at most 2 girls are excluded?

In how many ways can a committee consisting of three men and two women be chosen from seven men and five women?

Out of 12 employee, group of four trainees is to be sent for "software testing and QA" training of one month. In how many ways can the four employees should be selected?

Out of 12 employee, group of four trainees is to be sent for "software testing and QA" training of one month. In how many ways can the four employees should be selected such that two employees who want to go together and there are two employees who refuse to go together?

There are 2 white, 3 red and 4 green marbles. Three marbles are drawn. In how many ways can this be done so that at least one red marble is selected?

3 cards are chosen from a pack of 52 cards. In how many ways can you select three cards so that all of them are face cards?