Question & Answer
QUESTION

If T = {x : x is an alphabet of the word HARITHA HARAM}, then find the cardinal number of T.

ANSWER Verified Verified
Hint: A set is a well defined collection of distinct elements called objects. Each element is unique. The cardinal number of a set is the total number of unique elements in that particular set.

Complete Step-by-Step solution:
It is given that T = {x : x is an alphabet of the word HARITHA HARAM}. First we will find the elements in the set T.

So, the set T is defined by T = {H, A, R, I, T, H, A, H, A, R, A, M}
Only the unique elements are written in the set.
So,T ={A, H, I, M, R, T}
The number of unique elements in T are 6.
The cardinal number is 6.
This is the required answer

Note: The common mistake in this question is that students write all the elements in the set and count all of them in the cardinal number. Instead, only the unique elements should be counted to get the correct answer.