Question

friends please help me in finding the right answer


8th question

Answer 1

Let a be set of candidates failed in English
Let b be set of candidates failed in science.
Given,
$n(a) = 56. \: \: \: \: \: n(b) = 48. \\ n(a \: \cap \: b) = 18$
$n(a \: \cup \: b) = n(a) + n(b) - n(a \: \cap \: b) \\ = 56 + 48 - 18 = 86$
$we \: \: need \: \: to \: \: find \: out \: \: n( {a}^{c} \: \cap \: {b}^{c} ) \\ applying \: de \: morgans \: law \\ n( {a}^{c} \: \cap \: {b}^{c} ) = n {(a \: \cup \: b)}^{c} \\ = 100 - 86 = 14$