A committee of 6 people is to be chosen from 7 mid-fielders (M), 5 attackers (A), and 8 referees (R). a) exactly one attacker and one mid-fielder.

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Question 9:
A committee of 6 people is to be chosen from 7 mid-fielders (M), 5 attackers (A), and 8 referees (R).
Total available: M=7, A=5, R=8. Committee size = 6.

a) exactly one attacker and one mid-fielder;

Step 1: Select 1 attacker, 1 mid-fielder, and the remaining 4 from referees.
The number of ways to choose 1 attacker from 5 is $\binom{5}{1}$.
The number of ways to choose 1 mid-fielder from