Question

All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary with serial numbers. The serial number of the word MONDAY is

• A. 324
• B. 326
• C. 327
• D. 328

Answer 1

The Correct Option is C

The word MONDAY has 6 distinct letters. The number of words that can be formed with all the letters of MONDAY is given by \( 6! = 720 \).
Now, let's find the position of the word MONDAY in the dictionary:
The number of words starting with the letter D is \( 5! = 120 \).
The number of words starting with MA is \( 4! = 24 \).
The number of words starting with MD is \( 4! = 24 \).
The number of words starting with MN is \( 4! = 24 \).
The number of words starting with MOA is \( 3! = 6 \).
The number of words starting with MOD is \( 3! = 6 \).
The number of words starting with MONA is \( 2! = 2 \).
The word MONDAY itself is the last one.
Therefore, the rank of MONDAY is: \[ 120 + 120 + 24 + 24 + 24 + 6 + 6 + 2 + 1 = 327. \]