Question

among the 500 regular customer of shop .250 of them regularly buy product A . 250 customer regular buy product B . If 20 customer by neither of the products . then what is the number of customer that regularly buy only product A​

Answer 1

We can solve this problem by using the formula for the number of elements in the union of two sets:

n(A U B) = n(A) + n(B) - n(A ∩ B)

where n(A) represents the number of elements in set A, n(B) represents the number of elements in set B, and n(A ∩ B) represents the number of elements in the intersection of sets A and B.

In this case, we have:

n(A) = 250

n(B) = 250

n(A U B) = 500 - 20 = 480

Substituting these values into the formula, we get:

480 = 250 + 250 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 250 + 250 - 480 = 20

So, the number of customers who regularly buy both products A and B is 20.

To find the number of customers who regularly buy only product A, we can subtract the number of customers who regularly buy both products A and B from the total number of customers who regularly buy product A:

n(A) - n(A ∩ B) = 250 - 20 = 230

Therefore, the number of customers who regularly buy only product A is 230.