All categories

3 years ago

How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word

Mathematics

1 answer:

Sergio [31]3 years ago

5 0

Answer: 118 combinations.

Step-by-step explanation:

In ALIVE we have 5 letters, rearranging it we have the possible options of:

5 options for the first letter.

4 options for the second letter, as one was already chosen for the first one

3 options for the third letter, as 2 were already chosen.

2 options for the fourth letter.

1 option for the last letter.

The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:

5*4*3*2*1 = 120 combinations.

And the combinations where the word EVIL is formed are:

AEVIL

EVILA

2 combinations, then the total number of combinations such that the word evil is not formed are:

120 - 2 = 118 combinations.

You might be interested in

Is this a function or not a function

notka56 [123]

this is a function becuase it passes the verticle line test (no 2 points are above each other).

8 0

3 years ago

Read 2 more answers

What is x-10=12 give me a example

ella [17]

Answer:

x = 22

Step-by-step explanation:

x-10=12

We want to solve for x

Add 10 to each side

x-10+10=12+10

x = 22

3 0

3 years ago

Read 2 more answers

Please HELP ME WITH THIS TY!

LenKa [72]

X=117 degrees
Y = 63 degrees
Z = 117 degrees

7 0

3 years ago

The corners of a square lie on a circle of diameter d = 0.35 m. each side of the square has a length l. find l.

sergeinik [125]

Refer to the attached image.

As we can observe ABCD is a square, whose corners that is A,B,C and D lie on the circle.

The diameter AC = 0.35 meter.

We have to find the side of square.

Let the measure of side of a square be 'l' meter

In triangle ABC,

By Pythagoras theorem, we get

$(AC)^2 = (AB)^2 + (BC)^2$

$(0.35)^2 = (l)^2 + (l)^2$

$(0.35)^2 = 2(l)^2$

$\frac{(0.35)^2}{2} = (l)^2$

$l^2 = 0.06125$

So, l = 0.25 meter

Therefore, the measure of side of the square is 0.25 meter.

6 0

3 years ago

one serving of oatmeal provides 16% of fiber you need daily. you must get the remaining 21 grams of fiber from other resources.

stira [4]

1 - 0.16 = 0.84
21/0.84 = 25
25 grams of fiber should be consumed daily.

3 0

3 years ago