Question

Out of a group of 50 persons, 32 take eggs, 25 take meat and 15 take both eggs and meat.

How many of them are pure vegetarians?​

Answer 1

$\sf{ \underline{ \underline{According\:to\: diagram\:we\:have\:to\:Find\::-}}}$

★$\tt{No.\:of\:persons\:in\:Green\:Region}$

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$\huge\sf{ \underline{ \underline{Question}}}$

• Out of a group of 50 persons, 32 take eggs, 25 take meat and 15 take both eggs and meat. How many of them are pure vegetarians?

$\huge\sf{ \underline{ \underline{Answer}}}$

• 8 $\bf{Persons}$

$\huge\sf{ \underline{ \underline{Explanation:-}}}$

Given :-

• $\sf{n(A)\:=\:32}$

• $\sf{n(B)\:=\:25}$

• $\small\sf{n(A⋂B)\:=\:15}$

• $\small\sf{n(A⋃B)\:=\:?}$

$\small\sf{ \boxed{ \boxed{n(A⋃B)\:=\:n(A)+n(B)-n(A⋂B)}}}$

$\small\sf{n(A⋃B)\:=\:32+25-15}$

$\small\sf{n(A⋃B)\:=\:42}$

$\bf{ \underline{ \underline{Person\:who\:are\:pure\: vegetarian\::-}}}$

$\mapsto\small\sf{\:\:Total\: Persons\: - \: n(A⋃B)}$

$\mapsto\sf{\:\:50 \:-\:42}$

$\mapsto\sf{\:\:8}$

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Answer 2

$\huge \purple{ \underline{ \: \: \: \: \: \: \: \: \: \:answer \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

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