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Two numbers `a ,b` are chosen from the set of integers 1, ,2 3, ..., 39. Then probability that he equation `7a-9b=0` is satisfied is `1//247` b. `2//247` c. `4//741` d. `5//741`

A

`1//247`

B

`2//247`

C

`4//741`

D

`5//741`

Text Solution

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The correct Answer is:
C
Given,
`7a - 9b = 0 or b = (7)/(9) a`
Hence, number of pairs (a,b) can be (9, 7), (18, 14), (27, 21), (36, 28). Hence, the required probability is `4//.^(39)C_(2) = 4//741`.
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