Mr. Cruze currently has 13 Hawaiian shirts, 6 pairs of khaki…

Mr. Cruze currently has 13 Hawaiian shirts, 6 pairs of khaki pants, and 4 different hats. When Mr. Cruze goes on his Hawaiian vacation (totally looking like a tourist), he picks an outfit consisting of exactly one Hawaiian shirt, exactly one pair of khaki shorts, and exactly one hat. How many different outfits will Mr. Cruze have for his vacation?

Mr. Cruze currently has 12 Hawaiian shirts, 7 pairs of khaki…

Mr. Cruze currently has 12 Hawaiian shirts, 7 pairs of khaki pants, and 3 different hats. When Mr. Cruze goes on his Hawaiian vacation (totally looking like a tourist), he picks an outfit consisting of exactly one Hawaiian shirt, exactly one pair of khaki shorts, and exactly one hat. How many different outfits will Mr. Cruze have for his vacation?

An identification tag on a school library book consists of t…

An identification tag on a school library book consists of two digits in a row (each can be any digit from 0 to 9) followed by two different letters from the set {a, b, w, x, y, z} followed by two more digits that must be different from each other. How many different identification tags can be made? (Type your answer with no commas.)

35 students were asked whether they like Valentine’s Day and…

35 students were asked whether they like Valentine’s Day and whether they like chocolate. 18 students said they like Valentine’s Day, 15 students said they like chocolate, and 8 students don’t like either. How many students said they like both Valentine’s Day and chocolate?

A set X with  is partitioned into three subsets, and . If t…

A set X with  is partitioned into three subsets, and . If the number of elements in is twice the number of elements in , and the number of elements in is three times the number of elements in , find the number of elements in each of these subsets of X. (Type in a numerical answer for each) : The number in [X1] = : The number in [X2] = : The number in [X3] =