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Permutations and Combinations question

2023 · 29 Jan · Shift 1 · Q45
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Permutations and Combinations question

2023 · 29 Jan · Shift 1 · Q45

JEE MainMathematicsPermutations and CombinationsNumerical+4 / −1
If all the six digit numbers x1 x2 x3 x4 x5 x6x_1\,x_2\,x_3\,x_4\,x_5\,x_6x1​x2​x3​x4​x5​x6​ with 0<x1<x2<x3<x4<x5<x60\lt x_1 \lt x_2 \lt x_3 \lt x_4 \lt x_5 \lt x_60<x1​<x2​<x3​<x4​<x5​<x6​ are arranged in the increasing order, then the sum of the digits in the 72th\mathrm{72^{th}}72th number is ‾\underline{\hspace{2cm}}​.
Numerical answer
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