If n(A)= 17, n(B)= 13 and n(A⋃B)= 24, find n(A⋂B).Instructions: just write the number in the provided blank.

Question

If n(A)= 17, n(B)= 13 and n(A⋃B)= 24, find n(A⋂B).

Instructions: just write the number in the provided blank.

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find $n(A \cap B)$ , we use the principle of inclusion-exclusion:

$n(A \cup B) = n(A) + n(B) - n(A \cap B)$

Substituting the known values:

$24 = 17 + 13 - n(A \cap B)$

Now, we simplify the equation:

$24 = 30 - n(A \cap B)$

Rearranging gives:

$n(A \cap B) = 30 - 24$ $n(A \cap B) = 6$

Final Answer

6

Similar Questions

The number a is 190% greater than the number b. The number bis 80% less than 24. What is the value of a?

When a number is divided by 13, the remainder is 10. When the same number is divided by 17, the remainder is 8. What is the number?

In the pattern 5, 9, 13,A, 21, B the value of A and B respectively are____and____a.15 and 23b.14 and 22c.17 and 25d.16 and 24

NumbersWhen a number is divided by 24, the remainder is 16. The remainder when the same number is divided by 12 isOptions4368

What least number must be subtracted from 1672 to obtain a number which is completely divisible by 17?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.