$[6$ marks$]10.($Hint: Draw a Venn diagram for this problem$)$ A survey of $100$ students at New England college showed the following

$48$ take English.

$49$ Take history.

$38$ take language $.$

$17$ take English and history.

$15$ Take English and language.

$18$ take history and language $.$

$7$ take all three.

How many students

$($a$)$ Take history but neither of other two?

$($b$)$ Take none of the three?

$($c$)$ Take exactly two of the three?

$($d$)$ Do not take language?