You are trying to communicate a message to your friend. There is a room with 8 light bulbs, where each of them can be switched on or off individually. You enter the room, switch some light bulbs on or off, and leave the room. Your friend then view the room through a window and attempts to find out the message you are trying to convey. You and your friend can agree on a strategy before you enter the room. If all light bulbs are working correctly, you can convey a message with 2^(8) = 256 possibilities, such as an integer in the range 0,1,…,255, by switching the light bulbs on or off according to the binary representation of the integer. 

1. Now, both of you know that exactly one of the light bulbs is faulty, i.e., it is stuck at either on or off. You can know which light bulb is faulty by trying to switch the light bulbs on and off. If your friend knows which light bulb is faulty as well, you can convey a message with 2^(7) = 128 possibilities simply by ignoring the faulty light bulb. However, your friend does not know which light bulb is faulty. 

How many different possibilities can you convey? Can you still convey a message with 128 possibilities? 

2. Suppose now both of you know that there are exactly two faulty light bulbs. How many different possibilities can you convey? 

https://preview.redd.it/ufk7jvcaunge1.png?width=2388&format=png&auto=webp&s=71a95442187158e485e40825dde30f5a2fd76f17

I have already solved the first part of the puzzle, but can anyone help me solve the second part?

https://preview.redd.it/gj1nb8pyipge1.jpg?width=1040&format=pjpg&auto=webp&s=6c30b89a99b3afd62415a4b22b8be36a945a00ec

First line with scribble is 4.

Thanks for the help

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This is a correct single sentence. The puzzle is to add the correct punctuation to make it grammatically correct

Punctuation puzzle from “Steering the Craft” by Ursula K. Le Guin.

So, I posted about a 15 puzzle which I couldn’t solve. Turns out you have to solve it upside down to get it right🤯

Hello! I’m not necessarily looking for the whole thing answered, but I’ve been staring at this one for days and I cannot find the next logical square to fill out. Any ideas? All the pencilled in numbers I did myself. I have removed any pencilled in numbers that can’t work, but I can’t narrow it down further from here.

How do you get the white dot out where the red line is by just moving pieces in the puzzle?

My four-year old was given a camera with a game on it called ‘Push the Box’, and we’ve reached a level that’s stumped the whole family! Any ideas? You have to push the four boxes on to the four dots, only one box can move at a time. Are we missing something obvious?

There is an app called simple time tracker on playstore (not a promotion) which I downloaded to track simple tasks like studying, gaming, entertainment. I being weirdly obsessed with things being perfectish wanted to find a Icon that matches the gaming activity most and scrolled through the icons and briefly saw this icon and then after scrolling through and not finding a better icon I wanted to use this instead. Now at first I couldn't find it but I knew I saw it somewhere so I searched for it in the search bar for the icons. I typed each and every letter of the alphabet one by one to find this icon and I eventually found it and used it as the gaming activity icon. But out of curiosity I wanted to know what the icon is called. So I again repeatedly typed alphabets to find what it is called in order like a, b, c ..., z, aa, ab, .., az,.. and so on. After 1-2 hours I found out it was called "e sports" for some reason. But also another combination of letters "ic" when searched shows this icon among many as a result but I can't understand how it can mean any word with "ic". I tried searching the internet with words with "ic" to see if any one of them was a match. Joy Stick was the closest and the most appropriate word but searching that doesn't show this icon as a result. I now really want to find out what it can be as it is an itch in my brain that I can't satisfy until I find out. Might it be an acronym? Or anything else. I don't even know if this is the correct subreddit for it so any recommendations on the subreddit is also welcomed. Any help is appreciated. Thanks.

TL; DR - What is this icon called (it is called E sports but I want to find the other one)

I am stuck with this suduko. What I have found is that there are two possible arrangements of 5 & 8. If anyone can help with the next step or how to approach it. It would be helpful.

F/a sqrt(-1) d/s

what the heck does this stand for?

Thank you so muc

Opened this bottle and can’t figure the puzzle out, answers?

You are standing before three gods: Truth, Lie, and Random.

Truth always tells the truth.

Lie always lies.

Random answers completely randomly — sometimes truthfully, sometimes falsely.

You don’t know which god is which. You may ask three yes-or-no questions, but each question must be directed to only one god at a time. The same god can be asked multiple questions or none at all.

Additionally:

The gods understand English but will answer in their own language: "da" and "ja." You do not know which word means "yes" and which means "no."

The Challenge:

Determine the identity of each god (which one is Truth, which one is Lie, and which one is Random)

I haven’t been playing this game for very long but I ran out of easy levels on this app. Any help, especially pointing out strategies, would be very much appreciated!

Any tips on how to continue from here? I'm kinda lost rn..

Hi y'all I was wondering if you could recommend some other similar variant to zebra puzzles / punnett square type puzzles if that makes sense. One of the other ones I really like as well is killer Sudoku but I was wondering if there's other stuff I could try?

I can't get to the bottom of this puzzle. Can isolate a few columns, but after that I'm having to guess to get the solution. Would appreciate the logical steps