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Q. If all the six digit numbers $x_1 x_2 x_3 x_4 x_5 x_6$ with $0 < x_1 < x_2 < x_3 < x_4 < x_5 < x_6$ are arranged in the increasing order, then the sum of the digits in the $72^{\text {th }}$ number is _____

JEE MainJEE Main 2023Permutations and Combinations

Solution:

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$ 245678 \rightarrow 72^{\text {th }} \text { word } $
$ 2+4+5+6+7+8=32$