For a group photograph, 3 boys and 2 girls stand in a line in all possible ways. How many photos could be taken if each photo corresponds to each such arrangement ?

When a group photograph in taken, all the seven teachers should be in the first row and all the twenty students should be in second row, If the two corners of the second row are reserved for the two tallest students, interchangeable only between them and if the middle seat of the front row is reserved for the principal, how many arrangements are possible?

All the letters of the word EAMCET are arranged in all possible ways. The number such arrangements in which no two vowels are adjacent to each other is

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

In how many ways can 4 boys and 3 girls be seated in a row of 7 chairs if boys and girls alternate ?

In how many ways can 4 boys and 3 girls be seated in a row so that no two girls are together ?

The numner of all possible matrices of order 2 xx 3 with each entry 0 or 1 is

From 2 mangoes, 3 oranges and 4 apples, how many selections of fruits can be made by taking : at least one of each kind ?

he number of ways in which 5 boys and 5 girls can be seated for a photograph so that no two girls sit next to each other is :