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Awards Committees Need to Be Formed to Review Potential Award

Question 51

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Awards committees need to be formed to review potential award recipients. In the past, three people have been assigned to review each applicant. The only stipulation is that a reviewer cannot be assigned to an applicant if the applicant is a co-worker. The matrix below shows 9 reviewers, 3 candidates, and a matrix. If an entry in the matrix contains an "X", then that specific reviewer is ineligible to review an applicant's material. For example, reviewer 1 cannot review materials submitted by candidate B. It is possible that some reviewers may not receive an assignment.
Applicant
 Reviewer  A  B  C 1X2X3X45X6X7X8X9X\begin{array} { | c | c | c | c | } \hline \text { Reviewer } & \text { A } & \text { B } & \text { C } \\\hline 1 & & \mathrm { X } & \\\hline 2 & \mathrm { X } & & \\\hline 3 & & & \mathrm { X } \\\hline 4 & & & \\\hline 5 & \mathrm { X } & & \\\hline 6 & & \mathrm { X } & \\\hline 7 & & \mathrm { X } & \\\hline 8 & & & \mathrm { X } \\\hline 9 & & \mathrm { X } & \\\hline\end{array}
-The committee would like to assign three reviewers to each applicant. A partial solution to this problem is shown below, where the number 1 indicates when a reviewer is assigned to an applicant. Assign reviewers to Applicant B and Applicant C.
Applicant
 Reviewer ABC1X2X31X415X6X7X8X91X\begin{array} { | c | c | c | c | } \hline \text { Reviewer } & \mathrm { A } & \mathrm { B } & \mathrm { C } \\\hline 1 & & \mathrm { X } & \\\hline 2 & \mathrm { X } & & \\\hline 3 & 1 & & \mathrm { X } \\\hline 4 & 1 & & \\\hline 5 & \mathrm { X } & & \\\hline 6 & & \mathrm { X } & \\\hline 7 & & \mathrm { X } & \\\hline 8 & & & \mathrm { X } \\\hline 9 & 1 & \mathrm { X } & \\\hline\end{array}

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