Identify the exercise as either a permutation (order matters) or combination (order does not matter) counting problem. Do not actually solve the exercise.One hundred people purchase lottery tickets. Three winning tickets will be selected at random. If first prize is $100, second prize is $50, and third prize is $25, in how many different ways can the prizes be awarded?
A. Combination
B. Permutation
Answer: B
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Solve.The population growth of an animal species is described by F(t) = 600 + 70 log3(2t + 1) where t is measured in months. Find the population of this species in an area 40 month(s) after the species is introduced.
A. 6270 B. 3155 C. 450 D. 880
Find all values of ? with the given trigonometric function value.sin ? = - 
A. 60° + n ? 360°; 300° + n ? 360°, n any integer B. 210° + n ? 360°; 330° + n ? 360°, n any integer C. 150° + n ? 360°; 210° + n ? 360°, n any integer D. 60° + n ? 360°; 120° + n ? 360°, n any integer
Assume you have a graph with vertex set V = {A, B, C, D, E} and edge set E = {CD, CB, DA, DB, EA, AA}.Suppose that edge AE is removed from the graph. Which of the following statements regarding the resulting graph is true?
A. The resulting graph has two components. B. The resulting graph is connected. C. The resulting graph has 10 components. D. All of these are true. E. None of these are true.
Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth.leg = 10, leg = 24
A. 25 B. 26 C. 22 D. 18