Solve If You Can...
Number Theory
Level
2
Sum of all the 5 digit numbers that can be formed by 1,3,5,7,9 without repeating any digits =
6666666
6666000
6666600
6666660
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Total numbers formed = 5! = 120
there are 120/5= 24 numbers starting each digit with 1, 3, 5, 7, 9
so sum of 129 numbers formed
= 120(1+3+5+7+9) × 10000 + 120(1+3+5+7+9) × 1000 + 120(1+3+5+7+9) × 100 + 120(1+3+5+7+9) × 10 + 120(1+3+5+7+9) × 1 = 6666600