In how many ways can 10 scrips be arranged, so that the best and the worst do not come together?

In how many ways can 7 boys and 5 girls be arranged in a row so that no two girls come together?

There are 7 boys and 3 girls in a class. In how many ways can they be arranged in a row such that no two girls are together?

Using all the digits 1,4,5,8,9 in how many ways can numbers be formed,so that the numbers would be even.

Using all the digits 1,4,5,8,9 in how many ways can numbers be formed,so that the numbers would be odd.

In how many ways can the letters of the words FRACTION be arranged so that the three vowels are never together?

In how many ways can the letters of the words ALGEBRA be arranged in the form of words so that the two A's donot come together?

Using all the digits 1,4,5,8,9 in how many ways can numbers be formed,so that the numbers would be divisible by 5?

In how many ways can the letters of the words DIRECTOR be arranged in the form of words so that the two R's do not come together?

In how many ways can one post 3 letters in 5 post boxes?

A group consists of 4 girls and 7 boys.Ion how many ways can a tean of 5 members be selected so that the team has at least one boy and one girl?