Question

in 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

Answer 1

Answer:

The number of ways to arrange 5 persons, if no restrictions = 120ways

Step-by-step explanation:

It is given that

3 boys and 2 girls stand in a line in all possible ways

we have to find number of ways photos could be taken, if each photo corresponds different arrangement.

There is no restrictions in standing positions.

Here there are 5 numbers( 3 boys and 2 girls ) all of them have different in face.

The number of ways to arrange 5 persons, if no restrictions = 5! ways = 120ways

Answer 2

Given:

3 boys

2 girls

To find:

All the possible ways

Solution:

3 boys + 2 girls = 5

No conditions to be met.

And so,

By permutations,

They can be arranged in 5! ways

5! = 5 * 4  * 3 * 2 * 1

Hence, there are 120 ways in which 3 boys and 2 girls can be arranged for the photo.