3 years ago

(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.

You might be interested in

Two fair dice are rolled 3 times and the sum of the numbers that come up is recorded. Find the probability of these events. a. T

alexandr402 [8]

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.

(1,3) (2,2) (3,1) HEnce for one throw prob = 3/36 =1/12

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

(since each trial is independent)

b) Prob sum =4 in exactly 2 rolls

= $3C2 (1/12)^2 (11/12)$ = $\frac{33}{12^3}$

5 0

3 years ago

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

jeka94

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.

$m = - \frac{1}{ - 3} = \frac{1}{3}$

The point-slope form is given by:

$y-y_1=m(x-x_1)$

We substitute the point and the slope to get;

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

4 0

3 years ago

Read 2 more answers

ANSWER QUICK!!!<br><br> PLEASE INCLUDE WORKKKK

alexgriva [62]

Answer:

725

Step-by-step explanation:

700-7125 sksksksksks

7 0

3 years ago

Simplify the expression where possible.<br><br> (r -3s 2t ) 4

igor_vitrenko [27]

The answer to (r -3s2t)4 is 4r- 24st

4 0

3 years ago

Read 2 more answers

I need help on this

Komok [63]

Answer:

I think that it is A or D

Step-by-step explanation:

8 0

4 years ago