By interchanging the digits of the number 214569837 so that odd digits are in even positions, how many 9-digit numbers can be formed?
2880
1440
2350
1580
The given number is 214569837.
The odd digits 1, 5, 9, 3, and 7 can be arranged in 5 even positions in 5! ways.
The even digits 2, 4, 6, and 8 can be arranged in 4 odd positions in 4! Ways.
Therefore, the total number of ways is ways.
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