CAT Quant Practice Problems

Question: If there are 10 positive real numbers \({n_1} < {n_2} < {n_3}... < {n_{10}},\)how many triplets of these numbers\(({n_1},{n_2},{n_3}),({n_2},{\rm{ }}{n_3},{n_4}),{\rm{ }}...\)can be generated such that in each triplet the first number is always less than the second number, and the second number is always less than the third number?

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