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A suitcase lock has 4 dials with the digits $0, 1, 2,..., 9$ on each. How many different settings are possible if all four digits have to be different? 

 

it says 10,000 is wrong

 Mar 30, 2020
edited by helpppp  Mar 30, 2020

Best Answer 

 #1
avatar+663 
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1st Dial

10 possible numbers

 

2nd Dial

9 possible numbers (because all four digits have to be different)

 

3rd dial

8 possible numbers

 

4th dial 

7 possible numbers

 

10 * 9 * 8 * 7 = 5040

 Mar 30, 2020
 #1
avatar+663 
+2
Best Answer

1st Dial

10 possible numbers

 

2nd Dial

9 possible numbers (because all four digits have to be different)

 

3rd dial

8 possible numbers

 

4th dial 

7 possible numbers

 

10 * 9 * 8 * 7 = 5040

AnExtremelyLongName Mar 30, 2020

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