If all the six digit numbers x_1x_2x_3x_4x_5x_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^ th number is

JEE Main Mathematics question

If all the six digit numbers with are arranged in the increasing order, then the sum of the digits in the number is

Answer: 32

Solution

Such a number is a choice of distinct digits from written in increasing order, so there are numbers, and increasing order of the numbers is lexicographic order of the digit sets. Numbers

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Question ID VK-020905