Question

The number of 6-letter words, with or without meaning, that can be formed using the letters of the word "MATHS" such that any letter that appears in the word must appear at least twice is:

Hint:

When counting words or arrangements with restrictions, break the problem into cases based on the number of times each letter can appear, and then apply the multiplication principle of counting.

Answer 1

Correct Answer: 15

Step 1: Determine the letters present in the word "MATHS" and their frequencies for forming a 6-letter word.
Step 2: Apply the counting principle to ascertain the total count of valid words with a minimum of two occurrences for each letter.
Step 3: The cumulative number of such words is determined to be 15.