How many ways are there to arrange the integers 0,1,2,...,9, more info!

Mathematics
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How many ways are there to arrange the integers 0,1,2..,9, so that the first digit is greater than 1 and the last digit is smaller than 7?

Dec 25th, 2014

How many ways are there to arrange the integers 0,1,2..,9, so that the first digit is greater than 1 and the last digit is smaller than 7?

First digit can be filled in 8 ways  with 2,3,4,5,6,7,8,9. Last digit can be filled in 7 ways with 0,1,2,3,4,5,6

There are 8 remaining places and 10 digits. That can be done in 108 ways.

 Thus 108 * 8* 7 = 56*108 numbers


Dec 25th, 2014

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