Rather Than Study for Math, You and Your Buddies Decide

Short Answer

Rather than study for math, you and your buddies decide to get together for a marathon movie-watching popcorn-gorging event on Saturday night. You decide to watch six movies selected at random from the list.
?? $$\begin{array} { | c | c | } \hline \text { Name } & \text { Revenue ( } \text { ( million) } \\\hline \text { The Grudge } & \$ 9.24 \\\hline \text { Ray } & \$ 6.54 \\\hline \text { The Forgotten } & \$ 6.01 \\\hline \text { Friday Night Lights } & \$ 5.99 \\\hline \text { Cellular } & \$ 5.85 \\\hline \text { Shall We Dance } & \$ 5.82 \\\hline \text { The Village } & \$ 5.58 \\\hline \text { AVP: Alien Vs. Predator } & \$ 5.46 \\\hline \text { Catwoman } & \$ 5.10 \\\hline \begin{array} { c } \text { Sky Captain and the World of } \\\text { Tomorrow }\end{array} & \$ 5.09 \\\hline\end{array}$$
a. How many sets of six movies are possible ?
__________ sets
b. Your best friends, the Lara twins, refuse to see "Shall We Dance" on the grounds that it is "for girliemen" and also insists that at least one of "Alien Vs. Predator" or "Sky Captain" be among the movies selected. How many of the possible groups of six will satisfy the twins ?
__________ groups
c. Comparing the answers in parts (a) and (b), would you say the Lara twins are more likely than not to be satisfied with your random selection ?
__________ (yes or no )