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Find the highest power of 3 in ""^(50)C(...

Find the highest power of 3 in `""^(50)C_(10) and ""^(50)P_(10)`

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To find the highest power of 3 in \( \binom{50}{10} \) and \( P(50, 10) \), we will use the formula for the highest power of a prime \( p \) in \( n! \): \[ \text{Highest power of } p \text{ in } n! = \left\lfloor \frac{n}{p} \right\rfloor + \left\lfloor \frac{n}{p^2} \right\rfloor + \left\lfloor \frac{n}{p^3} \right\rfloor + \ldots \] ### Step 1: Calculate the highest power of 3 in \( 50! \) ...
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