Formula for the number of all combinations of $\"\"$ things, taken $\"\"$ at time is $\"\"$ .

(a).

Find the number combinations of that are possible when selecting $\"\"$ hearts out of $\"\"$ total hearts.

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$\"\"$ .

Find the number combinations of that are possible when selecting $\"\"$ clubs out of $\"\"$ total clubs.

$\"\"$

$\"\"$ .

The Fundamental Counting Principle :

$\"\"$

The number of $\"\"$ -card hands $\"\"$ .

$\"\"$ .

(b).

Find the number combinations of that are possible when selecting $\"\"$ ace out of $\"\"$ total aces.

$\"\"$

$\"\"$ .

Find the number combinations of that are possible when selecting $\"\"$ jacks out of $\"\"$ total jacks.

$\"\"$

$\"\"$ .

Find the number combinations of that are possible when selecting $\"\"$ kings out of $\"\"$ total kings.

$\"\"$

$\"\"$ .

Apply the Fundamental Counting Principle ,

The number of $\"\"$ -card hands $\"\"$

$\"\"$ .

(c). There are $\"\"$ face cards in $\"\"$ -card deck.

Find the number combinations of that are possible when selecting $\"\"$ face cards out of $\"\"$ face cards.

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$\"\"$ .

(a). $\"\"$ .

(b). $\"\"$ .

(c). $\"\"$ .