Permutation and Combination Set 3

The number of ways of painting the faces of a cube with six different colours is

How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 such that at least one of the digit is repeated?

The number of ways of arranging 8 men and 4 women around a circular table such that no two women can sit together, is

Let be the set of 4 digit number then is equal to

If , then the value of is

The number of numbers of 9 distinct digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than that in the middle is

We are to form different words with the letters of the word INTEGER. Let be the number of words in which I and N are never together and be the number of words which begin with I and end with R, then is equal to

A polygon has 170 diagonals. How many sides will it have?

Out of 10 consonants four vowels, the number of words that can be formed using six consonants and three vowels

The total number of all proper factors of 75600 is