the different collections than many (40+4-1)! / (40!)(43-40)! - (20+4-1)! / (20!)(23-20)!.
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
if the pile contains only 20 quarters but at least 40 of each other kind of coin,
So the P (n k ) = (20+4-1)! / (20!)(23-20)! subtracted from (40+4-1)! / (40!)(43-40)!
Hence the different collections than many (40+4-1)! / (40!)(43-40)! - (20+4-1)! / (20!)(23-20)!
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