BITSAT2024MathematicsPermutation and CombinationActual
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions
Options
- A16
- B36
- C60
- D100
Correct answer
C. 60
Step-by-step solution
Here we have 4 odd digits (3,3,5,5) and 5 even digits (2, 2, 8, 8, 8). O E O E O O E O where, E even place and O odd place Number of ways odd digits will be place on even places = 4! 2!2! Number of ways even digits will be place on odd places aligned & = 5! 2!3! & Total number of ways = 4! 2!2! 5! 2!3! =60 aligned