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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
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35
Required number of ways
$=\text { coeff. of } x^{16} \text { in }\left(x^{3}+x^{4}+x^{5}+x^{6}+x^{7}\right)^{4}$
$=\text { coeff. of } x^{16} \text { in }\left(x^{3}+x^{4}+x^{5}+x^{6}+x^{7}\right)^{4}$
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