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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

  1. A16
  2. B36
  3. C60
  4. 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

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