Difference between revisions of "2024 AMC 8 Problems/Problem 28"

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=Problem=
 
=Problem=
x*y*z*k*u=10000 and if all are integers how many numbers are possible. note all letters have different value and no replacing.
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How many sets of five distinct integers whose product is 10000 are exist. note all letters have different value and no replacing.
 
A=1567
 
A=1567
B=1440
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$\boxed{B=1440}
 
C=2345
 
C=2345
 
D=1234
 
D=1234
 
E=1300
 
E=1300
  
=Solutions=
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{{delete|No such problem}}
 
 
==Solution 1==
 
1440
 
{{delete|false problem}}
 

Latest revision as of 20:22, 26 February 2025

Problem

How many sets of five distinct integers whose product is 10000 are exist. note all letters have different value and no replacing. A=1567 $\boxed{B=1440} C=2345 D=1234 E=1300

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