Mr. and Mrs.Ghosh have some children. Seven of them don’t eat lettuce, five of them don’t eat banana and six of them don’t eat cabbage. Exactly two of them don’t eat cabbage and lettuce, three of them don’t eat banana and cabbage, and four of them don’t eat lettuce and banana. One eats none of these. And there is no child who eats all of these.How many children are there? Choose the correct choice from the following:  A) 8  B) 9  C) 10  D) 11  E) 12
P (A U B U 10) = P(A) + P(B) + P(10) - P(A ∩ B) - P(A ∩ 10) - P(B ∩ 10) + P(A ∩ B ∩ 10)   i think using this we can find ans as   no of child = 7+5+6-2-3-4+1= 
<gadget id="calculator">7+5+6-2-3-4+1</gadget>
<output>10</output>
10   ANSWER:10
<result>C</result>
Mr. and Mrs.Ghosh have some children. Seven of them don’t eat lettuce, five of them don’t eat banana and six of them don’t eat cabbage. Exactly two of them don’t eat cabbage and lettuce, three of them don’t eat banana and cabbage, and four of them don’t eat lettuce and banana. One eats none of these. And there is no child who eats all of these.How many children are there?