Rather mother, 2 boys and 3 girls are asked to line up for photograph.determine the number of ways
1. if no restrictions,
2. parents stand together and
3. parents do not stand together
4. all females together

Solution (By Examveda Team)

1. if no restrictions,
n = 1+1+2+3 = 7
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1
7! = 5040

2. parents stand together and
Grouping parents we will create a m and a n
m = parents together = 2
n = order of the photograph = 6
mn = 2! 6! = 1440

3. parents don't stand together
parents don't stand together = total – stand together
parents don't stand together = 5040 – 1440
parents don't stand together = 3600

4. all females together
Grouping women we will create a m and a n
m = grouping women together = 4
n = order of the photograph = 4
mn = 4! 4! = 576