Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions x/y where the numerators ...

Question

Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions x/y where the numerators belong to set X and the denominators belong to set Y. The product of elements having minimum and maximum values in the set Z is _____.
A. 1/12  B. 1/8  C. 1/6  D. 3/8

Accepted Answer

The product of the minimum and maximum values in Z is 3/8. We form every possible fraction x/y by picking a numerator from X = {1, 2, 3} and a denominator from Y = {2, 3, 4}. That gives 3 * 3 = 9 fractions. We then identify the smallest and largest among them and multiply those two fractions together.

Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions x/y where the numerators belong to set X and the denominators belong to set Y. The product of elements having minimum and maximum values in the set Z is _____. A. 1/12 B. 1/8 C. 1/6 D. 3/8