in how many ways cvan 5 people be chosen and arranged in a straight line, if there are 6 people to choose from'

Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer:

<h3>720 different ways</h3>

Step-by-step explanation:

Permutation has to do with arrangement. If r objevt selected from n pool of objects are to be arranged in a straight line, this can be done in nPr number of ways.

nPr = n!/(n-r)!

If 5 people are to be chosen and arranged in a straight line, if there are 6 people to choose from, this can be done in 6P5 numbe of ways.

6P5 = 6!/(6-5)!

6P5 = 6!/1!

6P5 = 6*5*4*3*2*1

6P5 = 720 different ways

You might be interested in

The product of 15 and the sum of a number and 5 expression

Sedbober [7]

(15)(x+5) because product means multiply the two terms tigether

7 0

3 years ago

Based on the picture..Find the area in terms of xFind the perimeter in terms of x

Vlad1618 [11]

The area of a rectangle is given by the product of its dimensions.

If this rectangle has a length of 2x + 7 and a width of x + 4, its area is:

$\begin{gathered} \text{Area}=\text{length}\cdot\text{width} \\ \text{Area}=(2x+7)(x+4)_{} \\ \text{Area}=2x^2+8x+7x+28 \\ \text{Area}=2x^2+15x+28 \end{gathered}$

The perimeter is the sum of all side lengths, so we have:

$\begin{gathered} \text{Perimeter}=(2x+7)+(x+4)+(2x+7)+(x+4) \\ \text{Perimeter}=6x+22 \end{gathered}$

6 0

1 year ago

John is trying to find the relationship between a student's age and the number of pets that he or she owns. He collects data fro

LenaWriter [7]

Positive

Explanation: I’m guessing as you get older, you get more responsible, so you have more pets

3 0

3 years ago

Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?

valentina_108 [34]

Answer: 20.25

Step-by-step explanation: Rebecca can expect to be making her regular 13.50 an hour, however once time and a half hits she’s looking at taking her 13.50 and dividing it by 2. So 13.50 divided by two is 6.75. You then take that 6.75 and add it on top of her regular 13.50 hourly. Putting you at 20.25 for time and a half.

5 0

3 years ago

Galena is solving the following system. 3x+2y+3z =5 7x+y +7z=-1 4x-4y-z=-3

babymother [125]

Answer:

She did not multiply equation 3 in step 2 by the correct value.

Step-by-step explanation:

Given:

$3x+2y+3z=5\\7x+y+7z=-1\\4x-4y-z=-3$

In order to solve this, we need to eliminate any one variable and then form a simultaneous equation with the remaining two variables. Then, we nee to solve the simultaneous equation.

Here, Galena is trying to eliminate the variable $z$ first.