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The possible number of ordered triplets `(m,n,p)` where `m,n,p epsilon N` is `(6250k)` such that `1le-mle100,1lenle50,1leple25` and `2^(m)+2^(n)+2^(p)` is divisible by `3` then `k` is |
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Answer» Correct Answer - 5 Here `2^(m)+2^(n)+2^(p)=(3-1)^(m)+(3-1)^(n)+(3-1)^(p)=3k+(-1)^(m)+(-1)^(n)+(-1)^(p)` So that `2^(m)+2^(n)+2^(p)` is divisible by `3` if `m,n,p` all are odd or all are even `implies` Number of possible ordered triplets `=50xx25xx12+50xx25xx13=31250=6250xx5` |
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