Let a={h, t},b={1,2,3,4,5,6},and c={red, green, blue}. find the numbers. n(b×b)

36


Explanation:

b = {1,2,3,4,5,6} is a set of values
if b is a set, then b x b is the cartesian product of that set with itself. Recall that a cartesian product is basically all of the ordered pairs possible of the form (x,y) where x comes from set b and y comes from set b

Note: in a more general sense, the set a x b represents all values (x,y) such that x comes from set 'a' and y comes from set 'b'. However, we won't be using set 'a' in this case. We won't be using set 'c' either.

There are 6 items in set b. So there are 6*6 = 36 items in set b x b
This is why n(b x b) = 36
Imagine a table with 6 rows and 6 columns. The rows and columns represent the counts from the original set b. Each cell in the table is a (x,y) pair such as (3,5)