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In a planet inhabited by ZUZUS the alphabet used is the same as that in English but in reverse order i.e., letter z comes first, then comes y and so on till the last letter a. If all letters of the word ACHHKM are to be arranged in their dictionary then what will be the 78th word?
  • a)
    AHCHKM
  • b)
    KHMHCA
  • c)
    KMHACH
  • d)
    KHMACH
Correct answer is option 'D'. Can you explain this answer?
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In a planet inhabited by ZUZUS the alphabet used is the same as that i...
The first word that can be found in the dictionary is MKHHCA.
Words starting with letter M = 5I/2! = 60 Words starting with letter KM = 4I/2! = 12 Words starting with letter KHM = 3! = 6 KHMACH is the 78th word.
Hence, option 4.
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Most Upvoted Answer
In a planet inhabited by ZUZUS the alphabet used is the same as that i...
To find the 78th word when the letters of the word ACHHKM are arranged in reverse alphabetical order, we need to follow a step-by-step approach. Let's break it down:

Step 1: Determine the number of ways to arrange the letters
Since we have 6 letters in the word ACHHKM, there are 6! (6 factorial) ways to arrange them. This is equal to 6 x 5 x 4 x 3 x 2 x 1 = 720.

Step 2: Find the number of words starting with each letter
Since the first letter of each word determines its position in the alphabetical order, we need to determine how many words start with each letter. To do this, we need to find the number of arrangements of the remaining letters.

- Starting with A: We have 5 remaining letters (CHHKM). The number of arrangements of these 5 letters is 5! = 5 x 4 x 3 x 2 x 1 = 120.
- Starting with C: We have 5 remaining letters (AHHKM). The number of arrangements of these 5 letters is also 5! = 120.
- Starting with H: We have 5 remaining letters (ACHK). The number of arrangements of these 5 letters is 5! = 120.
- Starting with K: We have 5 remaining letters (ACHHM). The number of arrangements of these 5 letters is also 5! = 120.

Step 3: Determine the position of each letter
To find the 78th word, we need to determine which letter should be in the first position, second position, and so on until the last position.

- The first letter: Since 78 is less than 120 (the total number of words starting with A), the first letter should be A.
- The second letter: Since 78 is greater than 120 and less than 240 (the total number of words starting with A or C), the second letter should be C.
- The third letter: Since 78 is greater than 240 and less than 360 (the total number of words starting with A, C, or H), the third letter should be H.
- The fourth letter: Since 78 is greater than 360 and less than 480 (the total number of words starting with A, C, H, or K), the fourth letter should be K.
- The fifth letter: Since 78 is greater than 480, the fifth letter should be M.

Step 4: Determine the last letter
The last letter is the only remaining letter, which is H.

Therefore, the 78th word when the letters of the word ACHHKM are arranged in reverse alphabetical order is KHMACH (Option D).
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In a planet inhabited by ZUZUS the alphabet used is the same as that in English but in reverse order i.e., letter z comes first, then comes y and so on till the last letter a. If all letters of the word ACHHKM are to be arranged in their dictionary then what will be the 78th word?a)AHCHKMb)KHMHCAc)KMHACHd)KHMACHCorrect answer is option 'D'. Can you explain this answer?
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