Verified Solution • 2025–26 Session moderate

QJEEM23Mad574: JEE Main 2023 Mathematics - Class 11 JEEM23Mad574 Solution: If all the six digit numbers with are arranged in the…

If all the six digit numbers x1 x2 x3 x4 x5 x6x_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 72th\mathrm{72^{th}} number is _____________.

Step-by-Step Verified Solution

1……………→8C5=561 \ldots \ldots \ldots \ldots \ldots \rightarrow{ }^{8} C_{5}=56

23 ……………→6C4=1571\ldots\ldots\ldots\ldots\ldots\rightarrow{ }^{6} C_{4}=\frac{15}{71}

72th 72^{\text {th }} number =245678=245678

Sum =32=32

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