2021 JMPSC Invitationals Problems/Problem 15: Difference between revisions
No edit summary |
Mathdreams (talk | contribs) No edit summary |
||
| Line 4: | Line 4: | ||
==Solution== | ==Solution== | ||
8 | 8 | ||
==See also== | |||
#[[2021 JMPSC Invitational Problems|Other 2021 JMPSC Invitational Problems]] | |||
#[[2021 JMPSC Invitational Answer Key|2021 JMPSC Invitational Answer Key]] | |||
#[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | |||
{{JMPSC Notice}} | |||
Revision as of 16:30, 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 Invitational Problems
- 2021 JMPSC Invitational Answer Key
- All JMPSC Problems and Solutions
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition.