Math, asked by enitan916, 1 year ago

If n(A)=12 and n(B)=10 and n(AuB)=17. Find n(AnB)

Answers

Answered by sprao534
7
N(AuB) =n(A) +n(B) - n(AnB)
17=12+10-n(AnB)
n(AnB)=5
Answered by parulsehgal06
0

Answer:

Step-by-step explanation:

Given values are

   n(A) = 12, n(B) = 10 and n(AUB) = 17

  • Let us suppose

        A be the set of students who only like Chocolates.

        B be the set of students who only like Biscuits.

  • According to given condition

         The no. of students who only like Chocolates = n(A) = 12

           The no. of students who only like Biscuits = n(B) = 10

The no. of students who likes either chocolates or Biscuits = n(AUB) = 17

now we need to find the value of n(A∩B)

The no. of students who like both Chocolates and Biscuits = n(A∩B)

  We have a formula from the Set Operations.

       n(AUB) = n(A) + n(B) -  n(A∩B)

     So, we can write it as

       n(A∩B)  = n(A) + n(B) - n(AUB)

   now substitute the values  n(A) = 12, n(B) = 10 and n(AUB) = 17 in the above equation

     n(A∩B) = 12 + 10 - 17

                  = 22-17

                  = 5

Hence,  n(A∩B) = 5.

Know more about Venn diagrams:

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