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# Finite math (15 Questions)

OneQUESTION 1If there are four toppings available, then the number of different pizzas that can be made is , or 128, different pizzas.a.trueb.false1 pointsQUESTION 2An opinion poll was conducted by the Morris Polling Group. Respondents were classified according to their sex (M or F), political affiliation (D, I, R), and the region of the country in which they reside (NW, W, C, S).Use the generalized multiplication principle to determine the number of possible classifications.a.10b.13c.30d.24e.211 pointsQUESTION 3How many international direct-dialing numbers are possible if each number consists of a four-digit area code (the first digit of which must be nonzero) and a five-digit telephone numbers (the first digit must be nonzero)?a.1,053,000,000b.486,000,000c.567,000,000d.729,000,000e.810,000,0001 pointsQUESTION 4An exam consists of nine true-or-false questions. Assuming that every question is answered, in how many different ways can a student complete the exam? In how many ways may the exam be completed if a penalty is imposed for each incorrect answer, so that a student may leave some questions unanswered?a.512; 19,683b.637; 38,777c.587; 14,685d.129; 587e.161; 11,858f.146; 7,1591 pointsQUESTION 5Four soups, five entrees, and four desserts are listed on the ”Special” menu at the Neptune Restaurant. How many different selections consisting of one soup, one entree, and one dessert can a customer choose from this menu?a.19 different selectionsb.33 different selectionsc.36 different selectionsd.80 different selectionse.24 different selectionsf.23 different selectionsTwoQUESTION 1Evaluate the expression.a.134b.126c.117d.1351 pointsQUESTION 2Four items from three different departments of Metro Department Store will be featured in a one-page newspaper advertisement as shown in the following diagram.If items from the same department must be in the same row, how many arrangements are possible?a.83,024b.82,944c.83,116d.82,929e.82,8151 pointsQUESTION 3A 3-member executive committee is to be formed from a 11-member board of directors. In how many ways can it be formed?a.6b.170c.990d.33e.1651 pointsQUESTION 4A list of poker hands ranked in order from the highest to the lowest is shown in the table, along with a description and example of each hand. Use the table to answer the problem.If a 5-card poker hand is dealt from a well-shuffled deck of 52 cards, how many different hands consist of a full house?a.3,722b.3,671c.3,744d.3,785e.3,8501 pointsQUESTION 5Evaluate the expression.a.b.c.d.1 pointsQUESTION 6How many nine-letter permutations can be formed from the first 9 letters of the alphabet?a.b.c.d.1 pointsQUESTION 7In how many ways can five students be seated in a row of five seats?a.b.c.d.1 pointsQUESTION 8In how many ways can a supermarket chain select 5 out of 18 possible sites for the construction of new supermarkets?a.b.c.d.1 pointsQUESTION 9Evaluate the expression.a.9b.5c.11d.191 pointsQUESTION 10Evaluate the expression.a.b.c.d.