How Many Lightbulbs Will Remain Turned On?

  • Context: High School 
  • Thread starter Thread starter nabliat5
  • Start date Start date
  • Tags Tags
    Lightbulb
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
2 replies · 3K views
nabliat5
there is a 1000 light bulbs in a room
near each bulb there is a switch which turns the bulb near it on in a push of a button
and turns it off in a second push of a button and turns it on again in the third push of a button.

1000 students come into the room
the first student pushing every button once (thus turning every lighbulb on)
the second student pushes every second button (turned off every even place lightbulb)
the third student pushes every third button
etc..

how many lightbulbs will remain turned on
if all 1000 students will act the same way as before(the 4th will push every 4th button etc..)
 
Mathematics news on Phys.org