The number of ways in which 15 identical apples & 10 identical oranges can be distributed among three persons , each receiving none,one or more is

5670

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7200

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8976

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7296

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Solution

The correct option is B 8976
No. of ways in which $15$ identical apples are distributed among three person $=^{15 + 3 - 1} C_{3 - 1} =^{17} C_{2} = 136$
No. of ways in which 10 identical oranges are distributed among three persons $=^{10 + 3 - 1} C_{3 - 1} =^{12} C_{2} = 66$
Total no. of ways $136 \times 66 = 8976.$
Hence, the answer is $8976.$

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