$1.$

Write a Python function that accepts a string and calculates the number of upper case letters and lower case letters. Input string might contain special characters $($say @$,\backslash$#$).$ You need to ignore them while performing the calculation.

$2.$

Write a Python function that checks whether a number is in a given range $($inclusive of high and low$)$

$3.$

Read a string and a pattern and return True if the pattern exists in the string otherwise False.

$4.$

Write a Python program to find the factorial of a number.

$5.$

Implement a simple calculator : Read two numbers and the operation $($addition$/$ subtraction$/$multiplication$/$division$/$reminder$/$floor division$),$

Output the corresponding result. $[$Hint: use if$/$elif$/$else$]$

$6.$

Write a Python program to calculate the area of a triangle :

$\backslash [$

$\backslash$begin$\{$array$\}\{$l$\}$

s$=($a$+$b$+$c$)/2\backslash \backslash$

a r e a$=\backslash$sqrt$\{\backslash$left$($s$($s$-$a$)^\{*\}($s$-$b$)^\{*\}($s$-$c$)\backslash$right$)\}$

$\backslash$end$\{$array$\}$

$\backslash ]$

$7.$

You are given three sides of a triangle: $\backslash ($ a$,$ b $\backslash )$ and $\backslash ($ c $\backslash ).$ Return True if they constitute a rightangled triangle.

$8.$ Write a python program which returns the reverse of a number. Don't use string operations.

Sample Input : $1234$

Sample Output : $4321$