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6. Determine the number of 5 card combinations out of a deck of 52 cards if there isexactly one ace in each combination |
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Answer» In a deck of 52 cards, there are 4 aces. A combination of 5 cards have to be made in which there is exactly ONE ace.Then, one ace can be selected in 4C1ways and the remaining 4 cards can be selected out of the 48cards in 48 C4 ways.Thus, by multiplication PRINCIPLE, REQUIRED number of 5 card combinations=48C4×4C1=4!(44)!48!×1!3!4!=4×3×2×148×47×46×45×4=778320 |
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