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Answer :

Explanation:

The question requires that we resolve the question using the combination technique

[tex]^8C_5[/tex]

The general combination formula is given by

[tex]^pC_r=\frac{p!}{r!(p-r)!}[/tex]

Therefore

Applying the formula, we will have

[tex]^8C_5=\frac{8!}{5!\times3!}=\frac{8\times7\times6\times5!}{5!\times3\times2}[/tex]

Simplifying further

[tex]\begin{gathered} ^8C_5=8\times7 \\ ^8C_5=56 \end{gathered}[/tex]

Therefore, the answer is 56

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