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]

Correct Answer is : a+b+106a+b+106a+b+106

Correct Answer is : a+b+106a+b+106a+b+106

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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 \cap Y)

-n(Y \cap Z)-n(X \cap Z)

+n(X \cap Y \cap Z) ?

Solution: 👈: Video Solution

n(X)+n(Y)+n(Z)-n(X \cap Y)

-n(Y \cap Z)-n(X \cap Z)

+n(X \cap Y \cap Z)

=n(X \cup Y \cup Z)

=a+b+90+16

=a+b+106

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