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so letamp;#39;s say we have the numbers 1 2 3 and so on up to n and we want to choose three numbers out of these we could choose one two and three we could choose one two and four we could choose two 4 and n or any other 3 numbers that we want order doesnamp;#39;t matter so choosing 3 2 1 is the same as choosing 1 2 3. the number of ways that we could choose 3 numbers out of n is called n choose 3 and itamp;#39;s denoted like this more generally the number of ways to choose k numbers out of n is denoted and choose k in this video i want to go through one of my favorite proofs for the formula for the value of n choose k and in order to do that we need to talk about orderings so here i have listed the numbers 1 2 3 and so on up to n and iamp;#39;ve listed them in increasing order but we could also write them in a different order for example i could write 2 comma 4 comma n comma 3 and so on and then maybe the last number in the ordering is 1. so both of these have the same numbers it
