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Plz help Im so confused

 

Find the number of ways of arranging the numbers 1,2 ,3, 4, 5, 6, 7, 8, 9 in a row so that the product of any two adjacent numbers is even.

 Jun 2, 2023
 #1
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There are 1364 possible arrangements.

 Jun 2, 2023
 #2
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1, 3, 5, 7, 9 ==5 odd numbers

2, 4, 6, 8 ==4 even numbers.

 

The 9-number arrangements must begin with an odd number and end with an odd number:

 

Therefore, there are: 5!  *  4! ==120  *  24 ==2,880 such arrangements possible.

 Jun 2, 2023

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