Cheenta
How 9 Cheenta students ranked in top 100 in ISI and CMI Entrances?
Learn More

Rearrangement Problem | TOMATO B.Stat Objective 125

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


Answer: 15.

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.

Subscribe to Cheenta at Youtube


Knowledge Partner

Cheenta is a knowledge partner of Aditya Birla Education Academy
Cheenta

Cheenta Academy

Aditya Birla Education Academy

Aditya Birla Education Academy

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.
JOIN TRIAL
support@cheenta.com