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If 2lamda is the number of ways of selec...

If `2lamda` is the number of ways of selecting 3 member subset of {1,2,3, . .,29}, so that the number form of a GP with integer common ratio, then find the value of `lamda`

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The correct Answer is:
6
`2lamda`=Number of selecting 3 member subsets of {1,2,3, . . ,29}
which are in
GP with common raio (2 or 3 or 4 or 5).
`=[29/2^(2)]+[29/3^(2)]+[29/4^(2)]+[29/5^(2)]`
`=7+3+1+1=13`
`thereforelamda=6`
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