A rectangular swimming pool measures 51/2 metres by31/2 metres. what is the perimeter
2 answers:
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a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,
6! = 6 5
= 30 4
= 360 2 = 720 possible ways to order 6 people in a row
b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.
5! = 5 4
= 20 3
= 120 1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.
In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )
c. With each husband on the left, there are 3 people left, all women, that we have to consider here.
3! = 3 2 6 ways to arrange 3 couples in a row, the husband always to the left
Answer:
27 pages.
Step-by-step explanation:
Let l be the number of pages in the long paper and s be the number of pages in the short paper.
We have been given that the total number of pages for both papers is 40. We can represent this information in an equation as:
We are also told that the number of pages in the long paper is one more than two times the number of pages in the short paper. We can represent this information in an equation as:
We will use substitution method to solve system of linear equations.
From equation (1) we will get,
Upon substituting this value in equation (2) we will get,
Upon adding 2l to both sides of our equation we will get,
Let us divide both sides of our equation by 3 we will get,
Therefore, there must be 27 pages in the long paper.