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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Mathematics
Chapter
Permutation and Combination

BITSAT 2020 · Mathematics · Permutation and Combination

If 16 identical pencils are distributed among 4 children such that...

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

  1. A15
  2. B25
  3. C35
  4. D40

Correct answer

C. 35

Step-by-step solution

Required number of ways = coeff. of  x16 in (x3+x4+x5+x6+x7)4=\text{ coeff.\text{ of } } x^{16} \text{ in }\left(x^{3}+x^{4}+x^{5}+x^{6}+x^{7}\right)^{4}
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