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ninaaforever
02.07.2020 •
Mathematics
2. (6 pts.) Student Engineers Council at a California university has one student representative from each of the five engineering majors (civil, electrical, industrial, materials, and mechanical). In how many ways can Both a council president and a vice president be selected? A president, a vice president, and a secretary be selected? Two members be selected for the President’s Council?
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Ответ:
(a) There are 20 ways to select both a council president and a vice president.
(b) There are 60 ways to select both a president, a vice president, and a secretary.
(c) There are 10 ways to select two members for the President’s Council.
Step-by-step explanation:
All the five engineering majors have one student representative at the Student Engineers Council at a California university.
(a)
Compute the number of ways to select both a council president and a vice president as follows:
As order of selection is important, the number of ways to select both a council president and a vice president is:
Thus, there are 20 ways to select both a council president and a vice president.
(b)
Compute the number of ways to select president, a vice president, and a secretary as follows:
Again as the order of selection is important, the number of ways to select both a president, a vice president, and a secretary is:
Thus, there are 60 ways to select both a president, a vice president, and a secretary.
(c)
Now for two members for the President's Council are to be selected.
As the order of selection is not important, two members can be selected in:
Thus, there are 10 ways to select two members for the President’s Council.
Ответ:
The overall price for software packages are $150. Take that from $238 and you're left with $88. Divide $88 by 8 (the total months) and you have your answer of $11.