asked 174k views
4 votes
Set A contains 9 letters and 1 number . Set B contains 4 letters and 9 Numbers. 3 letters and 1 number are common to both sets A and B. Find the number of elements in set A or set B.

1 Answer

3 votes
To find the number of elements in either set A or set B, you can use the principle of set union. In set theory, the union of two sets, denoted by ∪, represents all unique elements that belong to either set or both.

Set A contains 9 letters and 1 number, so it has 9 + 1 = 10 elements.
Set B contains 4 letters and 9 numbers, so it has 4 + 9 = 13 elements.

However, 3 letters and 1 number are common to both sets A and B. So, when calculating the union of the two sets, we should only count these common elements once.

Therefore, the total number of elements in the union of sets A and B is:

10 (from set A) + 13 (from set B) - 3 (common letters) - 1 (common number) = 19 - 4 = 15 elements.

So, there are 15 elements in either set A or set B.


Hope I helped you :)
answered
User Beka Tomashvili
by
8.0k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.