Out of $100$ students of the Department of Informatics who were asked if they had chosen the

optional courses: Computer Graphics $($C$),$ Bioinformatics $($B$)$ and Cryptography $($K$),33$

stated that they had chosen C$,43$ B$,52$ K$,15$ C and K$,17$ B and K$,10$ all three, $10$

none of the three. To be found:

$2$

$($i$)$ How many had chosen C and B$.$

$($ii$)$ How many had chosen B only.

$($iii$)$ How many had chosen only K$.$