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Fundamental counting principle, you can multiply the number of ways to three hearts and the

number of ways to select two spades.

Only the cards in the hand matter, not the order in which they were drawn, so use combinations. $\"\"$ there of 13 hearts are to be drawn.

The number of permutations of n distinct objects taken r at a time given by $\"\"$ .

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

Expand the factorial: $\"\"$ .

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$\"\"$ (Cancel common terms)

$\"\"$ (Multiply: $\"\"$ )

$\"\"$ (Divide: $\"\"$ )

$\"\"$ (Multiply: $\"\"$ ) $\"\"$

There are 81796 hands consisting of 3 hearts and 3 spades.