The number of ways in which 8 distinguishable apples can be distrib...

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The number of ways in which 8 distinguishable apples can be distributed among 3 boys such that every boy should get atleast 1 apple \& atmost 4 apples is \( \mathrm{K} \cdot{ }^{7} \mathrm{P}_{3} \) where \( \mathrm{K} \) has the value equal to
\( \mathrm{P} \)
(A) 14
(B) 66
(C) 44
(D) 22
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