JEE MAIN - Mathematics (2023 - 29th January Morning Shift - No. 24)
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 _____________.
Answer
32
Explanation
$1 \ldots \ldots \ldots \ldots \ldots \rightarrow{ }^{8} C_{5}=56$
23 $\ldots\ldots\ldots\ldots\ldots\rightarrow{ }^{6} C_{4}=\frac{15}{71}$
$72^{\text {th }}$ number $=245678$
Sum $=32$
23 $\ldots\ldots\ldots\ldots\ldots\rightarrow{ }^{6} C_{4}=\frac{15}{71}$
$72^{\text {th }}$ number $=245678$
Sum $=32$
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