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Question: Answered & Verified by Expert
The number of different 9 digit number that can be formed, from the digits of the number 445577888 by rearranging its digits, so that the odd digits occupy even positions, are
MathematicsPermutation CombinationMHT CETMHT CET 2022 (06 Aug Shift 1)
Options:
  • A $120$
  • B $60$
  • C $180$
  • D $36$
Solution:
1598 Upvotes Verified Answer
The correct answer is: $60$

ways
and remaing five even digits $4,4,8,8,8$ can be arranged in 5 places in $\frac{\underline{5}}{2 \underline{3}}$
Hence total no of ways $=\frac{\lfloor 4}{\lfloor 2 L 2} \times \frac{\underline{5}}{2 \underline{2} \underline{3}}=6 \times 10=60$

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