Question

Which of the following sets are finite sets.
$\left(i\right)$ The sets of months in a year.
$\left(ii\right)\{1,2,3,....\}$
$\left(iii\right)\{1,2,3,...,99,100\}$
$\left(iv\right)$ The set of positive integers greater than $100.$

• A. $\left(i\right)$ and $\left(iii\right)$
• B. $\left(i\right)$ only
• C. $\left(ii\right),\left(iii\right)$ and $\left(iv\right)$
• D. $\left(ii\right)$ and $\left(iv\right)$

Answer 1

The correct option is A $\left(i\right)$ and $\left(iii\right)$

$\left(i\right)$ The sets of months in a year is a finite set because it has $12$ elements.
$\left(ii\right)\{1,2,3,....\}$ is an infinite set as it has infinite number of elements.
$\left(iii\right)\{1,2,3,...,99,100\}$ is a finite set as it has number from $1$ to $100$ which is finite in number.
$\left(iv\right)$ The set of positive integers greater than $100$ is an infinite set because positive integers greater than $100$ are infinite in number.