Let $P_{n}$ denotes the number of ways in which three people can be selected out of 'n' people sitting in a row, if no two of them are consecutive. If $P_{n + 1} - P_{n} = 15$ then the value of 'n\displaystyle{i}{s}_{_}__{.}

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Let

P_{n}

denotes the number of ways in which three people can be selected out of 'n' people sitting in a row, if no two of them are consecutive. If

P_{n + 1} - P_{n} = 15

then the value of 'n\displaystyle{i}{s}_{_}__{.}

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Question Text

Let

P_{n}

denotes the number of ways in which three people can be selected out of 'n' people sitting in a row, if no two of them are consecutive. If

P_{n + 1} - P_{n} = 15

then the value of 'n\displaystyle{i}{s}_{_}__{.}

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