Home/ Questions/Q 2318
Next
In Process

askthedev.com Latest Questions

Asked: 2024-09-24T05:42:14+05:30 In:

You have a classic challenge involving a mobile phone’s keypad. Each digit from 2 to 9 is associated with a set of letters, similar to how old phones worked for texting. Your task is to determine all possible letter combinations that can be formed from a given sequence of digits. Each number corresponds to the following letters: – 2: a, b, c – 3: d, e, f – 4: g, h, i – 5: j, k, l – 6: m, n, o – 7: p, q, r, s – 8: t, u, v – 9: w, x, y, z Given a string of digits, produce a list of all potential combinations of letters that can be generated. For example, if the input is “23”, the output should be all possible combinations from the letters corresponding to 2 and 3, which would include: ad, ae, af, bd, be, bf, cd, ce, cf. Your output should contain each combination as a unique string, and the order in which the combinations are presented matters.

Imagine you’re trying to send a text message on one of those old-school mobile phones with a keypad, you know, the ones where each number corresponds to a group of letters. It’s such a classic challenge! Now, let me throw a fun puzzle your way.

Let’s say you have a sequence of digits, specifically the string “47.” Your mission, should you choose to accept it, is to figure out all the possible combinations of letters that this sequence can produce using the classic mobile phone keypad mapping:

– For the digit 4, the letters are g, h, and i.
– For the digit 7, the letters are p, q, r, and s.

So, the digits you have are 4 and 7, and it’s your task to mix and match these letters to produce every possible combination.

Think about it: you’ll have to pair each letter from the first digit (4) with every letter from the second digit (7). So, to start, you would take ‘g’ from the first digit and combine it with each of the letters from the second digit. That means you’d create combinations like ‘gp,’ ‘gq,’ ‘gr,’ and ‘gs.’ Then, you’ll move on to ‘h’ and do the same: ‘hp,’ ‘hq,’ ‘hr,’ and ‘hs.’ Finally, you’d take ‘i’ and wrap it up with ‘p,’ ‘q,’ ‘r,’ and ‘s’ to finish with ‘ip,’ ‘iq,’ ‘ir,’ and ‘is.’

In total, how many unique combinations do you think you can come up with? It might help to write them out to see them all laid out nicely. Oh, and don’t forget to keep the order straight, since it matters!

Once you’re done, share all the letter combinations you found. It’s like a little puzzle — the more you think about it, the clearer it becomes. Let’s see how quickly you can solve this classic mobile phone conundrum!

Share

    Leave an answer

    You must login to add an answer.

    Need An Account,

    2 Answers



    1. Letter Combinations from Mobile Keypad

      Combining Digits from Old Mobile Keypad

      So, we have the digits “47”. Let’s break it down:

      • Digit 4 corresponds to: g, h, i
      • Digit 7 corresponds to: p, q, r, s

      Now, we need to pair each letter from 4 with each letter from 7. Here’s what we get:

              g + p = gp
        g + q = gq
        g + r = gr
        g + s = gs
        h + p = hp
        h + q = hq
        h + r = hr
        h + s = hs
        i + p = ip
        i + q = iq
        i + r = ir
        i + s = is

      So, the full list of combinations is:

      • gp
      • gq
      • gr
      • gs
      • hp
      • hq
      • hr
      • hs
      • ip
      • iq
      • ir
      • is

      In total, we end up with 12 unique combinations! Pretty cool, huh?


    2. To solve the puzzle of generating all possible letter combinations from the sequence “47” on an old-school mobile phone keypad, we start by mapping the digits to their corresponding letters. The digit ‘4’ maps to the letters ‘g’, ‘h’, and ‘i’, while the digit ‘7’ corresponds to ‘p’, ‘q’, ‘r’, and ‘s’. By pairing each letter from the first group (4) with each letter from the second group (7), we can systematically generate all combinations: for ‘g’ we can have ‘gp’, ‘gq’, ‘gr’, ‘gs’; for ‘h’ we can create ‘hp’, ‘hq’, ‘hr’, ‘hs’; and finally, for ‘i’ we will have ‘ip’, ‘iq’, ‘ir’, ‘is’.

      Thus, the unique letter combinations derived from the sequence “47” are as follows: ‘gp’, ‘gq’, ‘gr’, ‘gs’, ‘hp’, ‘hq’, ‘hr’, ‘hs’, ‘ip’, ‘iq’, ‘ir’, and ‘is’. In total, there are 12 unique combinations that can be formed when combining each letter corresponding to the digit 4 with every letter corresponding to digit 7. This approach effectively demonstrates the classic mechanism of text entry on these mobile keypads, highlighting a simple yet engaging exercise in combination generation.

    Related Questions