[["Problem: Determine the number of ways to arrange the letters of the word PARABOLA.\nAnswer:", ["\n"]], ["Problem: A team averages 7 losses for every 13 games it wins. If ties are not permitted, what is the probability that the team will win its next game? Express your answer as a percent.\nAnswer:", ["\n"]], ["Problem: A state had three letters followed by three digits as the format for license plates. In order to increase the number of plates available, the state changed the format to four letters followed by two digits. What is the positive difference between the number of plates available with the new format and the number of plates available with the old format?\nAnswer:", ["\n"]], ["Problem: How many non-empty subsets of $\\{ 1 , 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 \\}$ consist entirely of prime numbers?  (We form a subset of the group of numbers by choosing some number of them, without regard to order.  So, $\\{1,2,3\\}$ is the same as $\\{3,1,2\\}$.)\nAnswer:", ["\n"]], ["Problem: Compute $\\displaystyle \\binom{11}{4}$.\nAnswer:", ["\n"]], ["Problem: How many ways are there to put 9 differently colored beads on a $3\\times3$ grid if the purple bead and the green bead cannot be adjacent (either horizontally, vertically, or diagonally), and rotations and reflections of the grid are considered the same?\nAnswer:", ["\n"]], ["Problem: Joe's batting average is .323.  (That is, he averages 0.323 hits per at bat.)  What is the probability that he will get three hits in three at-bats? Express your answer as a decimal to the nearest hundredth.\nAnswer:", ["\n"]], ["Problem: What is the value of $\\displaystyle{{(3!)!\\over3!}}$?\nAnswer:", ["\n"]], ["Problem: If you flip a fair coin four times, what is the probability of flipping at least three heads in a row? Express your answer as a common fraction.\nAnswer:", ["\n"]], ["Problem: How many ways are there to put five beads on a necklace if there are eight distinct beads to choose from, and rotations and reflections of the necklace are considered the same?\nAnswer:", ["\n"]]]