There are \( m \) apples and \( n \) oranges to be placed in a line such that the two extreme fr...
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There are \( m \) apples and \( n \) oranges to be placed in a line such that the two extreme fruits being both oranges. Let \( P \) denotes the number of arrangements if the fruits of the same species are different and \( Q \) the corresponding figure when the fruits of the same species are alike, then the ratio \( P / Q \) has the value equal to:
(A) \( { }^{n} P_{2} \cdot{ }^{m} P_{m} \cdot(n-2) \) !
(B) \( { }^{m} P_{2} \cdot{ }^{n} P_{n} \cdot(n-2) ! \)
(C) \( { }^{n} P_{2} \cdot{ }^{n} P_{n} \cdot(m-2) \) !
(D) none
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