In how many ways atleast one horse and atleast one dog can be selected out of eight horses and seven dogs.
A
215−2
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B
215−1
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C
(28−1)(27−1)
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D
15C2
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Solution
The correct option is C(28−1)(27−1)
As we can either select or not select any horse; total ways for horses=2r ways to be excluded are when no horse is selected, which is only one way, therefore, favourable ways for horses=28−1