The number of different ways that three speakers can be selected is 10 ways
Given the names of choice to be Ben, Will, Stewart, Hilary, and Kate. This means that we have a total of 5 name choices.
If the members of students activities are to select three speakers among these people, the number of ways this can be done is by using the combination rule as shown;

From the question, n = 5 and r = 3. On substituting

Hence the number of different ways that three speakers can be selected is 10 ways.
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3/5 x 4 = 12/20
H = 12
Sorry if wrong
You have a line:
y=mx+b (slope-intercepted form)
m=slope of this line.
The slope of a line perpendicular to that given line will be: ´"m´"
m´=-1/m.
For example:
y=8x+3
m=8
The solpe fo a line perpendicular to "y=8x+3" is:
m`=-1/8
In 2000 Emily was 9 years old.
Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:
- 2015 = E = 3K
- 2021 = E = 2K
- 24 /// 8 --- 30 /// 14
- 18 /// 6 --- 24 /// 12
- 18/6 = 3
- 24/12 = 2
- 2015 = Emily was 24 years old
- 24 - (2015 - 2000) = X
- 24 - 15 = X
- 9 = X
Therefore, in 2000 Emily was 9 years old.
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