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1.How many distinct odd - 4 digit numbers can be written with the digits 1,2 ,3  and 4 if no digit may be used more than once?

 

2. How many distinct arrangements can be made from the letters in the word "REARRANGE''?

 Apr 13, 2019
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1.How many distinct odd - 4 digit numbers can be written with the digits 1,2 ,3  and 4 if no digit may be used more than once?

 

To be odd....the last digit must be odd

So...if the last digit is 1.....we have  3 * 2 * 1  =  6  possibilities

And the same if the last digit is 3

So.....12 distinct odds

 

2. How many distinct arrangements can be made from the letters in the word "REARRANGE''?

 

The number of distinct arrangements is given by :

 

      9!                   

________  =  15120

3! * 2! * 2!

 

 

cool cool cool

 Apr 13, 2019

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