Question

Let U={1,2,3,...40}, A={x: x is divisible by 2 and 3} and B= {x:x= n^2 , n is a natural number}, then n(A) - n(B) is??

Answer 1

Answer:

U = { 1,2,3,...40 }

Elements of A are divisible by 2 and 3, it means these are divisible by 6.

So we can say,

A = { 6, 12, 18,...36 }

n(A) = 6, as 36 = 6*6

B contains squares of natural numbers. In between 1 and 40 -

B = { 1, 4, 9, 16, 25, 36 }

n(B) = 6

Hence,

= n(A) - n(B)

= 6 - 6

= 0

Answer 2

Answer: 0

Step-by-step explanation:

U = { 1,2,3,...40 }

Elements of A are divisible by 2 and 3, it means these are divisible by 6.

So we can say,

A = { 6, 12, 18,...36 }

n(A) = 6, as 36 = 6*6

B contains squares of natural numbers. In between 1 and 40 -

B = { 1, 4, 9, 16, 25, 36 }

n(B) = 6

Hence,

= n(A) - n(B)

= 6 - 6

= 0