Bulb 64 is ON at the end (changed 7 times by persons 1, 2, 4, 8, 16, 32, and 64).
The 10 light bulbs that are ON at the end were changed an odd number of times, which are light bulbs 1 (changed 1 time), 4 (3 times), 9 (3 times), 16 (5 times), 25 (3 times), 36 (9 times), 49 (3 times), 64 (7 times), 81 (5 times) and 100 (9 times).There are 100 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switQ. How many men does it take to change a light bulb?
A. One. He just holds it up there and waits for the world to revolve around him.
Q. How many women does it take to change a light bulb?
A. None. They just sit there in the dark and complain.
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There are 100 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switIdk... math problems make me cry!*sob*There are 100 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switnone, all that switching on and off has burnt out the bulbs.There are 100 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switok lets see....no 2 switched off 64, number 4 switched it back on, 8 switched it off, 16 switched it on, 32 switched it off, soooo 64 switched it back on!
the other part is beyond my capabilities and I now have a headacheThere are 100 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switPeace is right about part 1...the number 64 bulb is on.
As for Part II, every bulb with a number with an EVEN number of factors will be OFF. Every bulb with a number with an ODD number of factors will be ON. The only numbers with an ODD number of factors are perfect squares. Therefore, the bulbs that will be ON are bulbs 1, 4, 9, 16, 25, 36, 49, 64, 81, 100; that's a total of 10 bulbs left on.There are 100 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switlight bulb 64 is on. There are 68 bulbs on. If you want the math, let me know. It's kinda complicated. Pretty much, for the second part you have to write out people one through fifty and then alternate between off and on. Divide one hundred by each person's number to get how many bulbs they either turned off or on. Once you get to the person numbered fifty, then every one else doesn't count because number fifty one will turn one bulb on and number fifty two will turn one off. For all the first fifty, add the bulbs turned on and subtract the bulbs turned off.
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