A formula relating ??? and ???is______
To fill in the blank in the statement, “ A formula relating and is _____.”
The statement is given as “A formula relating and is _____.”
The number of ways to select number of ordered elements from a set of number of elements is given by
If the number of elements in a set is and the subsets formed from the set are with elements.
The number of ways to select elements from number of elements is given by
Also, by the notation we denote the number of combinations from a set of elements.
To calculate the number of combinations, first we should know how many ways there are to select elements from elements. Then we consider the order of a selected elements.
In a set of elements, there are of different arrangements within the elements. But for a combination, we do not care about the order and we consider all these arrangements as one combination.
Hence, we have to divide the number of selections by the number of arrangements to obtain the total number of combinations
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