Question

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if x & y are two sets such that n (x) =17, n(y) =23 & n(XUY) =38,. Find n (XnY)

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Answer 1

HERE IS YOUR ANSWER

Answer

Use formula

n ( X ∪ Y ) = n ( X ) + n ( Y ) – n ( X ∩ Y )

Plug the values we get

38 = 17 + 23 - n ( X ∩ Y )

n ( X ∩ Y ) = 40 – 38 = 2

Answer is n(X ∩Y) = 5

Answer 2

Class - 11

Chapter - 1 (Sets)

Exercise - 1.6

Answer:

n(X ∩ Y) = 2

Step-by-step explanation:

Correct Question:

If X & Y are two sets such that n (X) =17, n(Y) =23 & n(X∪Y) =38.

Find n (X∩Y)

Solution:

To Find:

n(X∩Y)

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Method:

Given,

n (X) = 17 , n (Y) = 23 , n(X ∪ Y) = 38

n (X ∩ Y) =     ?

We know that,

Formula:

⇒n( X ∪ Y ) = n(X) + n(Y) - n(X ∩ Y)

According to formula:

n( X ∪ Y ) = 38

n (X) = 17

n (Y) = 23

n( X ∩ Y ) = ?   (We have to find it with the help of formula)

After Applying formula:

Values will be:

⇒38 = 17 + 23 - n (X ∩ Y)

⇒38 = 40 - n(X ∩ Y)

⇒n(X ∩ Y ) = 40 - 38 = 2

Hence,

n (X ∩ Y) = 2