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The product of all digits of positive integer M is 105. How many such Ms are there with distinct digits?

 Apr 24, 2021
 #1
avatar+121048 
+2

Possible    digits

 

3  5   7

 

Arranging  these  in 3!  ways  we  get  6   M's

 

Also

 

1 3  5  7

 

Arrranging  these  in  4!  ways  we  get  24 more

 

So

 

24 + 6   = 

 

30 possible M's

 

 

cool cool cool

 Apr 24, 2021
 #2
avatar+402 
+2

Thank you soo much!!!

ss333  Apr 24, 2021

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