What is the value of n(X)+n(Y)+n(Z)-n(X \cap Y) -n(Y \cap Z)-n(X \cap Z)+n(X \cap Y \cap Z) ? [NDA-I 2020]

UPSC NDA I and II 2020 Math Solved Paper

DIRECTIONS (Qs. 31-33) : Read the following information and answer the three items that follow:
Consider the following Venn diagram, where X,Y and Z are three sets. Let the number of elements in Z be denoted by n(Z) which is equal to 90.

[NDA-I 2020]

Question : 32 of 120

Marks: +1, -0

What is the value of n(X)+n(Y)+n(Z)−n(X∩Y) −n(Y∩Z)−n(X∩Z)+n(X∩Y∩Z)?

[NDA-I 2020]

a+b+43
a+b+63
a+b+96
a+b+106

Validate

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