Ask question

Ask question

All categories

1 year ago

12

How many different ways are there to arrange the letters of the word PRISM?

1 answer:

Advocard [28]1 year ago

6 0

Answer:

5! (5 factorial) or 120 ways

Step-by-step explanation:

You can arrange P different ways. R can be arranged only 4 different ways because Pwill be in one of the spots. Next, you can arrange "I" 3 different ways because P and R are already arranged in 2 spots, meaning you cant put "I" there. Next, S can be arranged in 2 different ways for the same reason. And lastly, M can only be arranged in 1 different way because the other spots are taken.

You can put it in any order. For example, M could be arranged 5 ways and P could be arranged in 1 way. You will still get 120 ways

Hopefully this helped. The explanation might be a bit confusing but I tried my best. I'm not good with explaining my solutions but I always try

You might be interested in

Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the c

Archy [21]

Answer:

8 pictures

Step-by-step explanation:

Given

$Window = 5\frac{3}{4}ft$

$Wall = 9.75ft$

$Pictures = 6\ inches$

Required

Determine the number of pictures

First, we need to calculate the length of the available space

This is calculated by subtracting the width of the window from the width of the wall.

$Space = Wall - Window$

$Space = 9.75 - 5\frac{3}{4}$

Convert fraction to decimal

$Space = 9.75 - 5.75$

$Space = 4ft$

Since, the pictures are placed side by side.

This means that, there's no empty space between them.

Number of pictures is:

$Number = \frac{Space}{Pictures}$

$Number = \frac{4\ ft}{6\ in}$

Convert feet to inches

$Number = \frac{4 * 12\ in}{6\ in}$

$Number = \frac{48\ in}{6\ in}$

$Number = \frac{48}{6}$

$Number = 8$

<em>Hence, 8 pictures can fit the wall</em>

7 0

2 years ago

Read 2 more answers

The dosage for a certain drug calls for 20mg per kg per day and is divided into two doses(1every 12 hours) if a person weighs 19

podryga [215]

Answer:

893.42

Step-by-step explanation:

1kg=2.205pounds

so 20mg is for 2.205pounds

therefore for 197pounds will be 1784.84mg

but the dose is once every 12hrs meaning twice a day so divide 1784.84/2 to get the pounds

4 0

2 years ago

Solve for y. 5x-10y=-40

marusya05 [52]

Y=4

-10/-10 = -40/-10

-40/-10 = 4

4 0

3 years ago

Read 2 more answers

Take the numbers to their prime factorization. Write the final answer in exponential form. (SHOW YOUR WORK)

emmainna [20.7K]

1. 2² times 7¹

2. 2² times 3²

3. 29 is a prime number already

4. 2¹ times 5¹ times 7¹

5. 5¹ times 11¹

6. 3⁴

7. 2³ times 3¹ times 7¹

8. 3² times 11¹

9. 3¹ times 5²

10. 2⁶

4 0

3 years ago

Eddie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has three equal parts that are y

navik [9.2K]

Answer:

C. 1/5

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers