List of top Quantitative Ability and Data Interpretation Questions on Permutation and Combination

How many ten-digit numbers can be formed using all the digits of 2435753228 such that odd digits appear only in even places?

Given below are two statements
Statement I: A committee of 4 can be made out of 5 men and 3 women containing at least one woman in 65 ways.
Statement II: The number of words which can be formed using letters of the word ARRANGE' so that vowels always occupy even place is 36.
In light of the above statements, choose the correct answer from the options given below

In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women?

There are six teachers. Out of them, two teach physics, other two teach Chemistry and the rest two teach Mathematics. They have to stand in a row such that Physics, Chemistry and Mathematics teachers are always in a set. The number of ways in which they can do, is:

In how many different ways, can the letters of the words EXTRA be arranged so that the vowels are never together?