Question 1177667
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You need to choose 4 of the 13 spades, y of the 13 diamonds, and 2 of the 13 hearts (and also 0 of the 13 clubs).  The number of ways to do that is<br>
{{{C(13,4)*C(13,7)*C(13,2)*C(13,0)}}}<br>
You can evaluate that or convert it to whatever form you need.<br>