MHT CET 2022 Mathematics question
The number of different 9 digit numbers that can be formed, from the digits of the number 445577888 by rearranging its digits, so that the odd digits occupy even positions, are
Answer: (B)
Solution
The digits are 4, 4, 5, 5, 7, 7, 8, 8, 8. The odd digits are 5, 5, 7, 7 (four of them) and a 9-digit number has exactly four even positions (2nd, 4th, 6th, 8th), so the odd digits must fill exactly these. Arrangements of 5, 5, 7, 7 in the even places:
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