30 objects are to be divided into three groups containing 7, 10, … - Vidyadip

Question

30 objects are to be divided into three groups containing 7, 10, 13 objects. Find the number of distinct ways of doing so.

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Answer

Required number $={ }^{30} \mathrm{C}_7 \times{ }^{23} \mathrm{C}_{10} \times{ }^{13} \mathrm{C}_{13}$

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