Sum of all 5 digit numbers formed by using the digits 1,3,4,6,8

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03 Jul 2012 5 digit number

Sum of all 5 digit numbers formed by using the digits 1,3,4,6,8

OPtion

1) 5435678
2) 5645798
3) 5866608
4) 6213458
5) 6454388
6) 6657498
7) 7234308
8) 7865078
9) 7965068
10) 8012008

Solution

sum of all the digits = 22
total no. of numbers formed by these 5 digits = 120
so every digit will come 24 times in all the places like unit place, ten place and so on.
now 22*24 = 528
so sum = 5280000+528000+52800+5280+528 = 5866608

Correct Option: 3 Best Solution (0)