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Find the number of ways of dividing 20 objects into three groups of sizes 8, 7, and 5.

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First we can select 8 objects our of 20 for the first group in 20C8ways.

Now there are 12 objects left out of which we can select 7 objects for the second group in 12C7 ways.

Remaining 5 objects can be selected for the third group in 5C5 ways.

∴ Required number of ways = 20C8 × 12C7 × 5C5

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