91Ó°ÊÓ

If \(n(A)=43, n(B)=20\), and \(n(A \cap B)=3\), find \(n(A \cup B)\).

Evaluate each number. $$ C(100,98) $$

\mathrm{\\{} I c e ~ C r e a m ~ W h e n ~ B a s k i n - R o b b i n s ~ w a s ~ f o u n d e d ~ i n ~ 1945, it made 31 different flavors of ice cream. \({ }^{8}\) If you had a choice of having your ice cream in a cone, a cup, or a sundae, how many different desserts could you have?

Ice Cream At the beginning of 2002, Baskin-Robbins claimed to have "nearly 1,000 different ice cream flavors." \(^{\prime \prime}\) Assuming that you could choose from 1,000 different flavors, that you could have your ice cream in a cone, a cup, or a sundae, and that you could choose from a dozen different toppings, how many different desserts could you have?

If \(n(A)=60, n(B)=20\), and \(n(A \cap B)=1\), find \(n(A \cap B)\).

Evaluate each number. $$ C(100,97) $$

Draw a Venn diagram that illustrates the relationships among the given sets. $$ \begin{aligned} &S=\\{\text { eBay, Googletm, Amazon, OHaganBooks, Hotmail }\\}, \\ &A=\\{\text { Amazon, OHaganBooks }\\}, \quad B=\\{\text { eBay, Amazon }\\} \\\ &C=\\{\text { Amazon, Hotmail }\\} \end{aligned} $$

If \(n(A \cup B)=100\) and \(n(A)=n(B)=60\), find \(n(A \cap B)\).

How many ordered lists are there of four items chosen from six?

Binary Codes A binary digit, or "bit," is either 0 or 1. A nybble is a four- bit sequence. How many different nybbles are possible?