Permutations And Combinations Question 41

Question: A father with 8 children takes them 3 at a time to the Zoological gardens, as often as he can without taking the same 3 children together more than once. The number of times each child will go to the garden is

Options:

A) 56

B) 21

C) 112

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • Each child will go as often as he (or she) can be accompanied by two others. Therefore the required number is $ {{=}^{4}}C_1{{\times }^{6}}C_4=60 $ .