Difference between revisions of "2021 JMPSC Invitationals Problems/Problem 15"
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| − | #[[2021 JMPSC | + | #[[2021 JMPSC Invitationals Answer Key|2021 JMPSC Invitationals Answer Key]] |
#[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | #[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | ||
{{JMPSC Notice}} | {{JMPSC Notice}} | ||
Revision as of 16:32, 11 July 2021
Problem
Abhishek is choosing positive integer factors of 
with replacement. After a minute passes, he chooses a random factor and writes it down. Abhishek repeats this process until the first time the product of all numbers written down is a perfect square. Find the expected number of minutes it takes for him to stop.
Solution
8
See also
- Other 2021 JMPSC Invitationals Problems
- 2021 JMPSC Invitationals Answer Key
- All JMPSC Problems and Solutions
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition. 
