​In Order to Rank the Five Members of Its Chess

question 169

Multiple Choice

​In order to rank the five members of its chess team for play against another school, the coach draws the following diagram. An arrow from 1 to 2 means player 1 has defeated player 2. ​​

Let matrix A represent the matrix with the following elements: .
Let matrix B represent the matrix with the following elements: .
The player i is the top-ranked player if the sum of row i in the matrix A + B is the largest. What is the number of this player?
​

• A) ​player 3
• B) ​player 2
• C) ​player 5
• D) ​player 1
• E) ​player 4

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Definitions:

Mnemonic Devices

Techniques or strategies used to enhance memory and recall by associating information with simple patterns, symbols, or ideas.

Everyday Memory

The use of memory in daily life, encompassing the ability to remember and use information in a regular, day-to-day context.

Distributing Practice

A learning strategy that involves spreading study sessions over time, rather than cramming them into a short period.

Genitourinary Assessment

A medical examination focusing on the genital and urinary systems to identify abnormalities, infections, or other health issues.