Answer
See below
Work Step by Step
We know that if we want to select $r$ objects out of $n$ disregarding the order, we can do this in $_nC_r=\frac{n!}{r!(n-r)!}$ ways.
Here we have $n_1=10,r_1=5$: $_{10}C_5=\frac{10!}{5!5!}=252$
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