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In how many ways can the digits of 45,520 be arranged to form a 5-digit number that is even?

 Apr 30, 2022
 #1
avatar+117872 
+2

If the last digit is zero then there are  ?   You answer

If the last digit is not zero then how many are there?

Add them together. 

 Apr 30, 2022
 #2
avatar+676 
0

_ _ _ _ 0 -> 4! / 2 possibilities = 12 p.

_ _ _ _ 2 -> 12 p. - 3 p. (bc 0)  =  9 p.

_ _ _ _ 4 -> 12 p. - 3 p. (bc 0)  =  9 p.

                                                    ____

                                                    30 p.

 

So there are 30 ways.

 May 2, 2022

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