A={1, 2, 3, ..., 9}. If three numbers ar...

`A={1, 2, 3, ..., 9}`. If three numbers are selected from set A and are arranged, the probability that three numbers are either in increasing order or in decreasing order.

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The correct Answer is:

2

Favourable cases `=2.^(9)C_(3)`
Total arrangement `=9xx8xx7`
Required probability `=(2xx .^(9)C_(3))/(9xx8xx7)=1/3`

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