The number of ways in which 6 different toys can be distributed in ...

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The number of ways in which 6 different toys can be distributed in two children if each child gets none, one or more number of toys is also equal to
\( \mathrm{P} \)
(A) the number of 6 digit numbers that can be made using only the digits 2 and 3 if each digit is used atleast once.
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(B) the number of heptagons that can be formed using the vertices of a 16-gon if none of the sides of the 16 -gon is also the side of heptagon.
(C) the coefficient of \( x^{6} \) in the expansion of \( (x+1)^{6} \sum_{i=0}^{6} x^{i} \).
(D) number of ways in which a person can invite his 6 friends, if he can select some or all at a time.
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