Question

Out of 65 students, 35 like lays, 24 likes kurkure and 15 is do not like any of them,present the above information in a venn-diagram and find the number of a students who like

both the items.

Answer 1

Explanation:

n(U) = 65

n(L) = 35

n(K) = 24

n(LUK) = 15

n(LnK) = x

Since we don't know the intersection (x), we have not also known the real value of Set L and K. Therefore, it is expressed as:

35-x and 24-x

Add the terms together and equate to the universal set :

35-x + x + 24-x + 15 = 65

35 + 24 + 15 + x-x - x = 65

74 - x = 65

- x = 65 - 75

-x = - 9

divide through by -1, you'll get:

x = 9

Therefore, the number of students who like both is 9.