Question

Find the cardinal number of the following set.

$\left\{\text{letters in the word MATRICULATION}\right\}$

Answer 1

Step $\mathbf{1}$: Definition

Cardinal number of a set: The number of distinct elements in a finite set A is called the cardinal number of the set A and is denoted by n(A).

Step $\mathbf{2}$: Find the cardinal number of given set.

Let A be the given set such that:

$\text{A =}\left\{\text{letters in the word MATRICULATION}\right\}$

$=\left\{M,A,T,R,I,C,U,L,O,N\right\}$ which is a finite set.

Here, number of distinct elements in set A is $10$.

Hence, the cardinal number of the given set is $\mathbf{10}$.