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levacccp [35]
3 years ago
5

(a) How many ways are there to arrange 3 people in a line (order matters) using a group of 5 people?

Mathematics
1 answer:
mart [117]3 years ago
7 0

Answer:

60.

Step-by-step explanation:

This is a permutation exercise because order matters. The formula is n!/(n-r)!. In this case n=5 and r=3 so,

5!/(5-3)! = 5!/2! = 5!/2 = (5*4*3*2*1)/2 we can simplify the 2 and obtain 5*4*3= 60.

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Answer:

Step-by-step explanation:

Given that two fair dice are rolled 3 times and the sum of the numbers that come up is recorded.

a) The sum is 4 on each of the three rolls.

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Prob for getting same sum 4 in 3 rolls = (\frac{1}{12} )^3

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Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all
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ANSWER

y-1= \frac{1}{3} (x- 6)

EXPLANATION

We want to write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3.

The slope of this line is negative reciprocal of -3.

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The point-slope form is given by:

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We substitute the point and the slope to get;

y-1= \frac{1}{3} (x- 6)

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