Consider the situation. A political party holds a national convention with 1,100 delegates. At the convention, five persons (which we will call A, B, C, D, and E) have been nominated as the party's presidential candidate. After the speeches and hoopla, the delegates are asked to rank all five candidates according to his or her choice. However, before the vote, caucuses have narrowed the choices down to six different possibilities. The results of the first ballot are shown (choices, followed by the number of votes):
(ADEBC)
(BEDCA)
(CBEDA)
330
270
200
(DCEBA)
(EBDCA)
(ECDBA)
180
90
30
?
How many possible rankings are there?
Fill in the blank(s) with the appropriate word(s).
120
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Predict the general, or nth term, an, of the sequence.2, 10, 18, 26, 34, . . .
A. an = 8n - 3 B. an = 2(8)n - 1 C. 8n - 6 D. an = 6n - 8
Solve the problem.List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is C(4, 3)?
A. 123, 124, 134, 234, 321, 432 C(4, 3) = 6 B. 111, 112, 113, 114, 121, 122, 123, 124, 131, 132, 133, 134, 141, 142, 143, 144, 211, 212, 213, 214, 221, 222, 223, 224, 231, 232, 233, 234, 241, 242, 243, 244, 311, 312, 313, 314, 321, 322, 323, 324, 331, 332, 333, 334, 341, 342, 343, 344, 411, 412, 413, 414, 421, 422, 423, 424, 431, 432, 433, 434, 441, 442, 443, 444 C(4, 3) = 64 C. 123, 124, 132, 134, 142, 143, 213, 214, 231, 234, 241, 243, 312, 314, 321, 324, 341, 342, 412, 413, 421, 423, 431, 432 C(4, 3) = 24 D. 123, 124, 134, 234 C(4, 3) = 4
Solve the problem.The roof of a building is in the shape of the hyperbola 
where x and y are in meters. Determine the distance, w, the outside walls are apart, if the height of each wall is 6 m.
A. 9.8 m B. 24 m C. 6.9 m D. 4.9 m
Match the given graph with its equation.
A. 4x2 - 25y2 = 100 B. 25x2 + 4y2 = 100 C. 4y2 - 25x2 = 100 D. 25x2 - 4y2 = 100