There are 18,679,680 different hands of 5 cards where only one is a queen.
There are 52 cards. We want to make hands of 5, where only one of the cards is a queen.
There are 4 queens, so the other 48 cards are not queens.
Let's say that the first card must be a queen (order does not matter), there are 4 options to choose from.
The second card must not be a queen, so here we have 48 options.
The third card, again, must be different than a queen, so here we have 47 options (because one was already chosen).
For the fourth and fifth cards, the reasoning is similar, the number of options are 46 and 45 respectively.
The total number of combinations is given by the product between the numbers of options, we get:
C = 4*48*47*46*45 = 18,679,680
There are 18,679,680 different hands of 5 cards where only one is a queen.
If you want to learn more about combinations:
https://brainly.com/question/11732255
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