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''?

sudsw12 Apr 13, 2019

#1**+1 **

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!

CPhill Apr 13, 2019