Question 1206421
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A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. 
If 6 freshmen, 8 sophomores, 7 juniors, and 7 seniors are eligible to be on the committee, 
in how many ways can the committee be chosen?
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<pre>
    In {{{C[6]^2*C[8]^3*C[7]^4*C[7]^5}}} = 15 * 56 * 35 * 21 = 617400  different ways.    <U>ANSWER</U>
</pre>

Solved.