Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Rearrangement.
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
Rearrangement
Digits
Divisibility
Answer: 15.
B.Stat Objective Problem 125
Challenges and Thrills of Pre-College Mathematics by University Press
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
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
that is 9+6 ways = 15 ways.
I.S.I. & C.M.I. Entrance Program
Taught by students and alumni of I.S.I. & C.M.I.
