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Logical Connectives

In how many w...

Question

In how many ways can 5 objects be divided into 2 persons?

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Solution

n identical objects can be divided into p persons in ⁿ⁺^p^{- 1}C_p_{- 1} ways
So, 5 identical objects can be divided into 2 persons in ^{5 + 2 - 1}C_{2 - 1} = ⁶C₁ = 6 ways

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