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Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.

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Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.
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Solution:
Number of 5 cards combinations from 52 cards with one ace in each combination is 4C1 × 48C4 

= 47 × 46 × 45 × 8 

= 778320

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