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JEE Main 20253 AprilMorning Shift
Exam
JEE Main
Year
2025
Date
3 April
Shift
Morning Shift
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2025 · 3 April · Morning Shift · Mathematics · Permutation and Combination

If the number of seven-digit numbers, such that the sum of their...

If the number of seven-digit numbers, such that the sum of their digits is even, is m⋅n⋅10nm \cdot n \cdot 10^{\mathrm{n}}; m,n∈{1,2,3,…,9}m, n \in\{1,2,3, \ldots, 9\}, then m+nm+n is equal to _______

Correct answer

0

Step-by-step solution

Total 7 digit nos. =9000000=9000000
7 digit nos. having sum of digits
Even =4500000=4500000
=9.5⋅105=9.5 \cdot 10^5
m=9,n=5\mathrm{m}=9, \mathrm{n}=5
m+n=14\mathrm{m}+\mathrm{n}=14
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