permutations

The number of 4-digit numbers formed by using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the product of the digits is 0 is ______.

The number of ways to arrange the letters of the word 'EQUATION' such that all vowels come together is ______.

The number of ways to seat 5 men and 5 women in a row such that no two women sit together is ______.

The number of ways to arrange 7 books on a shelf such that two particular books are always together is ______.

The number of distinct permutations of the letters of the word 'MISSISSIPPI' is ______.

The number of ways to arrange 3 boys and 3 girls in a row such that no two boys sit together is ______.

The number of ways to form a 3-digit number using the digits 1, 2, 3, 4, 5 without repetition is ______.

The number of ways to arrange the letters of the word 'APPLE' is ______.

The number of ways to arrange 6 distinct books on a shelf is ______.

The number of ways to form a 4-letter word using the letters of the word 'ROSE' without repetition is ______.

The number of ways to arrange 5 distinct objects in a row is ______.

Five different books (P, Q, R, S, T) are to be arranged on a shelf. The books R and S are to be arranged first and second, respectively from the right side of the shelf. The number...

Five different books (P, Q, R, S, T) are to be arranged on a shelf. The books R and S are to be arranged first and second respectively from right side of the shelf. The number of d...