Given range of n distinctive elements, count total variety of subsets.Examples:Input : 1, 2, 3Output : 8Explanationthe range contain total 3 element.its subset room , 1, 2, 3, 1, 2, 2, 3, 3, 1, 1, 2, 3.so the output is 8..
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We know variety of subsets of collection of size n is 2nHow walk this formula work?For every element, we have two choices, us either choose it or execute not choose it. Therefore in full we have 2 * 2 * … (n times) options which is 2nAlternate explanation is :Number the subsets of dimension 0 = nC0Number the subsets of size 1 = nC1Number of subsets of size 2 = nC2………………..Total number of subsets = nC0 + nC1 + nC2 + …. + nCn = 2nPlease refer amount of Binomial Coefficients because that details.
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