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Problem on Digits | TOMATO B.Stat Objective 111

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Problem on Digits. You may use sequential hints to solve the problem.

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

  • 399900
  • 399960
  • 0
  • none of these

Key Concepts


Digits

Sum

Non-repeated

Check the Answer


But try the problem first…

Answer: 399960.

Source
Suggested Reading

B.Stat Objective Problem 111

Challenges and Thrills of Pre-College Mathematics by University Press

Try with Hints


First hint

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

Second Hint

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

Final Step

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

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