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By interchanging the digits of the number 34817256 so that odd digits are in even positions, how many 8-digit numbers can be formed?

 

Option: 1

576


Option: 2

529


Option: 3

484


Option: 4

441


Answers (1)

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The given number is 34817256.

The odd digits 3, 1, 7, and 5 can be arranged in 4 even positions in 4! ways.

The even digits 4, 8, 2, and 6 can be arranged in 4 odd positions in 4! Ways.

Therefore, the total number of ways is 4! \times\ 4!=576\ ways.

 

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