Question 974543
a)


There are 6*8 = <font color="red">48</font> elements in set A x B


Rule: If there are m elements in A, n elements in B, then there are m*n elements in A x B. Draw out a table to see why this works.


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b)


We use the same rule applied in part a). There are <font color="red">g*h</font> elements in A x B. If we knew the numeric values of g and h, we can get a single numeric answer like we did in part a).


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c)


There are <font color="red">g*h*k</font> elements in (A x B) x C


Think of A x B as one set. Call it Q. In other words, let Q = A x B


So (A x B) x C turns into Q x C and we'll use the rules applied in part a) and part b). Q is going to have g*h elements in it. So Q x C has (g*h)*k = g*h*k elements in it.

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