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?

In how many ways can 5 boys and 3 girls stand in a row such that no two girls are together?

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

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 the letters in the word GUWAHATI be arranged such that all the vowels are together

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular girl is included

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular girl is excluded.

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular boy is included

In how many ways can the letters of the words PERMUTATIONS Vowels are together.

In how many, ways can 5 boys and 5 girls be placed in a circle,so( that no two boys are side by side?

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