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Algebra Arithmetic Combinatorics I.S.I. and C.M.I. Entrance ISI Entrance Videos

Rearrangement Problem | TOMATO B.Stat Objective 125

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Equations and Roots. You may use sequential hints.

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

Rearrangement Problem ( B.Stat Objective Question )


The number of 6 digit numbers between 1 and 300000 which are divisible by 4 and are obtained by rearranging the digits of 112233, is

  • 1113
  • 15
  • 53361
  • 5082

Key Concepts


Rearrangement

Digits

Divisibility

Check the Answer


But try the problem first…

Answer: 15.

Source
Suggested Reading

B.Stat Objective Problem 125

Challenges and Thrills of Pre-College Mathematics by University Press

Try with Hints


First hint

numbers with tens place and ones place as 12 can be arranged

(2)(3)(2)(1) divided by 2 ways where 2 is repeated =6 ways

Second Hint

numbers with tens place and ones place as 32 can be arranged

(3)(3)(2)(1) divided by 2 ways where 2 is repeated =9 ways

Final Step

that is 9+6 ways = 15 ways.

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