If all the six digit numbers x₁ x₂ x₃ x₄ x₅ x₆ with 0< x₁ < x₂ < x₃ < x₄ < x₅ < x₆ are arranged in the increasing order, then the sum of the digits in the 72^(th) number is _ _ _ _ _ _ _.

Permutations and Combinations: JEE Main 2023 Mathematics question

JEE Main 2023 · 29 Jan, Morning shift · Q40

JEE Main 202329 Jan, Morning shiftMathematicsMediumPermutations and Combinations98× since 2002

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

\mathrm{72^{th}}

number is _____________.

Your answerType your answer. Integers and decimals are accepted.