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Determine thenumber of 5 card combinations out of a deck of 52 cards if there is exactlyone ace in each combination. |
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Answer» Since, there is exactly one ace in a combination of 5 cards, so no of ways of selecting one ace `= .^(4)C_(1) = 4` Again, no. of ways of selecting remaining 4 cards from remaining 48 cards `= .^(48)C_(4) = (48 xx 47 xx 46 xx 45)/(4 xx 3 xx 2xx 1) = 194580` Therefore, number of total combinations `= 194580 xx 4 = 778320` |
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