Problem on Digits | TOMATO B.Stat Objective 111

Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Problem on Digits.

Problem on Digits ( B.Stat Objective Question )

The sum of all the distinct four digit numbers that can be formed using the digits 1, 2, 3, 4, 5 each digit appearing at most once is

Digits

Sum

Non-repeated

Answer: 399960.

B.Stat Objective Problem 111

Challenges and Thrills of Pre-College Mathematics by University Press

here every strings are 1234, 2345, 1345, 1235, 2345

for 1234, sum =66660

for 1235, sum=66+660+6600+66000=73326

for 2345, sum=84+840+8400+84000=93324

for 1345, sum=78+780+7800+78000=86658

for 1245, sum=72+720+7200+72000=79992

then 66660+93324+73326+79992+86658=399960.