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If .^(n)C(r-1)=36, .^(n)C(r)=84 and .^(n...

If `.^(n)C_(r-1)=36, .^(n)C_(r)=84 and .^(n)C_(r+1)=126`, find n and r.

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To solve the problem, we are given the following equations based on combinations: 1. \( \binom{n}{r-1} = 36 \) 2. \( \binom{n}{r} = 84 \) 3. \( \binom{n}{r+1} = 126 \) We need to find the values of \( n \) and \( r \). ...
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