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Jason is trying to remember the five digit combination to his safe. He knows that he only used digits 1 through 5 (possibly repeated), that every even digit was followed by an odd digit, and every odd digit was followed by an even digit. How many possible combinations does Jason need to try?

 Jun 1, 2021
 #1
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If the  combimation  begins  with  an odd digit

We have    3 * 2 * 3 * 2 * 3   =   108  possible  combinations

 

If  the combination  starts  with an even digit

We have  2 * 3 * 2 * 3 * 2 =   72  possible combinations 

 

So......108  +  72    =    180  possible  combinations

 

 

cool cool cool

 Jun 1, 2021

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