Question

Number of subsets of set of letters of word 'MONOTONE' is:

• A. 8
• B. 256
• C. 64
• D. 32

Hint:

The number of subsets of a set with \( n \) elements is \( 2^n \).

Answer 1

The Correct Option is D

Step 1: {Identify distinct characters}
The word 'MONOTONE' contains the unique characters: M, O, N, T, E.
Step 2: {Quantify distinct characters}
The count of distinct characters is 5. 
Step 3: {Apply the subset formula}
For a set with \( n \) elements, the quantity of possible subsets is \( 2^n \). Here, \( n = 5 \). 
Step 4: {Compute the total number of subsets}
Total subsets = \( 2^5 = 32 \).