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Talkaboutquality · Answer 1 · 2023-03-22T06:23:49+0000

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Decide the formula to use

Since it can be seen from the question that order is important, we use the Permutation approach which is given by the formula:

$^nP_r=(n!)/(\left(n-r\right)!)$

STEP 2: Find the number of possible ways

$\begin{gathered} n=7,r=1\left(opening\right)+1\left(middle\right)+1\left(ending\right)=3 \\ we\text{ have;} \\ ^7P_3=(7!)/(\left(7-3\right)!)=(7!)/(4!)=(7*6*5*4!)/(4!)=7*6*5=210 \end{gathered}$

Hence, there are 210 possible ways

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