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UKMT Junior Mathematical Challenge, 2022

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Two lists of numbers are as shown below. List S: 3 5 8 11 13 14. List T: 2 5 6 10 12 13. Jenny decided she would move one number from List S to List T and one number from List T to List S so that the sum of the numbers in the new List S is equal to the sum of the numbers in the new List T. In how many ways could she do this?

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $5$

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