A father with 8 children takes 3 at a time to the zoo,as often as he can without taking the same 3 children together more than once.How often will he go and how often each child will go????   

Ans here

Number of times he will go to zoological garden is 56.number of ways to select 3 out of 8 = 8C3 = 56. number of ways to select other 2 out of 7 (for each child)= 7C2 = 21 Number of times a particular child will not go to the zoological garden is 35.Number of times each child will go to the zoological garden is 21

8C₃ times the man will go that is 56 times and 7C₂ times each child will go that is 21 times