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Find the sum sum(r=0)^(5)""^(32)C(6r)....

Find the sum `sum_(r=0)^(5)""^(32)C_(6r)`.

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To solve the problem of finding the sum \( \sum_{r=0}^{5} \binom{32}{6r} \), we can use the Binomial Theorem and properties of binomial coefficients. ### Step-by-Step Solution: 1. **Understanding the Binomial Theorem**: The Binomial Theorem states that: \[ (x + y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k ...
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