A professor of marketing studied how people attempt to influence the choices of others by offering undesirable alternatives. Such a phenomenon typically occurs when family members propose a vacation spot, friends recommend a restaurant for dinner, and realtors show the buyer potential homesites. In one phase of the study, the researcher had each of 127 college students select showroom displays for portable grills. Five different displays (representing five different-sized grills) were available, but only four would be selected. The students were instructed to select the displays to maximize purchases of Grill #2 (a smaller grill). Recall that students selected four portable grill displays to be compared from an offering of five different grill displays. Complete parts a through c below. a. Use a counting rule to count the number of ways the four displays can be selected from the five available displays to form a four-grill-display combination. There are different ways that the displays can be selected.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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A professor of marketing studied how people attempt to influence the choices of others by offering undesirable
alternatives. Such a phenomenon typically occurs when family members propose a vacation spot, friends recommend a
restaurant for dinner, and realtors show the buyer potential homesites. In one phase of the study, the researcher had
each of 127 college students select showroom displays for portable grills. Five different displays (representing five
different-sized grills) were available, but only four would be selected. The students were instructed to select the displays
to maximize purchases of Grill #2 (a smaller grill). Recall that students selected four portable grill displays to be
compared from an offering of five different grill displays. Complete parts a through c below.
a. Use a counting rule to count the number of ways the four displays can be selected from the five available displays to
form a four-grill-display combination.
There are different ways that the displays can be selected.
Transcribed Image Text:A professor of marketing studied how people attempt to influence the choices of others by offering undesirable alternatives. Such a phenomenon typically occurs when family members propose a vacation spot, friends recommend a restaurant for dinner, and realtors show the buyer potential homesites. In one phase of the study, the researcher had each of 127 college students select showroom displays for portable grills. Five different displays (representing five different-sized grills) were available, but only four would be selected. The students were instructed to select the displays to maximize purchases of Grill #2 (a smaller grill). Recall that students selected four portable grill displays to be compared from an offering of five different grill displays. Complete parts a through c below. a. Use a counting rule to count the number of ways the four displays can be selected from the five available displays to form a four-grill-display combination. There are different ways that the displays can be selected.
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Follow-up Question
A professor of marketing studied how people attempt to influence the choices of others by offering undesirable alternatives. Such a phenomenon typically occurs when family members
propose a vacation spot, friends recommend a restaurant for dinner, and realtors show the buyer potential homesites. In one phase of the study, the researcher had each of 127 college
students select showroom displays for portable grills. Five different displays (representing five different-sized grills) were available, but only four would be selected. The students were
instructed to select the displays to maximize purchases of Grill #2 (a smaller grill). Recall that students selected four portable grill displays to be compared from an offering of five different
grill displays. Complete parts a through c below.
a. Use a counting rule to count the number of ways the four displays can be selected from the five available displays to form a four-grill-display combination.
There are 5 different ways that the displays can be selected.
b. The researchers informed students to select the four displays to convince people to choose Grill #2. Consequently, Grill #2 was a required selection. Use a counting rule to count the
number of different ways the four grill displays can be selected from the five displays if Grill #2 must be selected.
There are 4 different ways that the displays can be selected.
c. Now suppose the four selected grills will be set up in a specific order for viewing by a customer. Again, Grill # 2 must be one of the four selected. How many different ways can the four grill
displays be selected if customers view the grills in order?
There are
different ways that the displays can be selected.
Transcribed Image Text:A professor of marketing studied how people attempt to influence the choices of others by offering undesirable alternatives. Such a phenomenon typically occurs when family members propose a vacation spot, friends recommend a restaurant for dinner, and realtors show the buyer potential homesites. In one phase of the study, the researcher had each of 127 college students select showroom displays for portable grills. Five different displays (representing five different-sized grills) were available, but only four would be selected. The students were instructed to select the displays to maximize purchases of Grill #2 (a smaller grill). Recall that students selected four portable grill displays to be compared from an offering of five different grill displays. Complete parts a through c below. a. Use a counting rule to count the number of ways the four displays can be selected from the five available displays to form a four-grill-display combination. There are 5 different ways that the displays can be selected. b. The researchers informed students to select the four displays to convince people to choose Grill #2. Consequently, Grill #2 was a required selection. Use a counting rule to count the number of different ways the four grill displays can be selected from the five displays if Grill #2 must be selected. There are 4 different ways that the displays can be selected. c. Now suppose the four selected grills will be set up in a specific order for viewing by a customer. Again, Grill # 2 must be one of the four selected. How many different ways can the four grill displays be selected if customers view the grills in order? There are different ways that the displays can be selected.
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