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Q.

An engineer is required to visit a factory for exactly four days during the first 15 days of every  month and it is mandatory that no two visits take place on consecutive days. Then the number of all  possible ways in which such visits to the factory can be made by the engineer during 1−15 June 2021 is

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answer is 495.00.

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Detailed Solution

Selection of 4 days out of 15 days such that no two of them are consecutive=15−4+1C4=12C4      n-r+1Cr=12×11×10×94×3×2=11×5×9=495
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