2,598,960 many different hands consisting of four queens and one king.
What is combination?
A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components
To choose 4 kings, there is only one way, and to choose a queen, there are four.
Thus, there are 4 different methods to draw the 5 cards as instructed.
The probability of drawing cards is taken into account while calculating the number of ways to draw 5 cards from a typical 52-card deck.
= 52!/(47!)(5!) = 2,598,960.
Hence, 2,598,960 many different hands consisting of four queens and one king.
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