Permutations And Combinations Question 329

Question: If 16 identical pencils are distributed among 4 children such that each gets at least 3 pencils. The number of ways of distributing the pencils is

Options:

A) 15

B) 25

C) 35

D) 40

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] Required number of ways = coeff. of $ x^{16} $ in $ {{(x^{3}+x^{4}+x^{5}+x^{6}+x^{7})}^{4}} $