All categories

3 years ago

How many different ways can the letters of " accommodate" be arranged?

Mathematics

2 answers:

Mariulka [41]3 years ago

8 0

Here is your answer.....

pychu [463]3 years ago

8 0

Answer:

2,494,800

Step-by-step explanation:

"Accommodate" has n = 11 letters.

Without repeated letters the answer would be 11! = 39,916,800.

But there are 4 letters repeated twice, these are: (a, c, o, m).

Then the solution is to divide 11! by 2! multiplied 4 times to compensate for duplications, that is:

11! 39,916,800 39,916,800

X = -------------- = -------------------- = ------------------- = 2,494,800

2! 2! 2! 2! 2 . 2 . 2 . 2 16

Then, the letters of "accommodate" can be arranged of 2,494,800 different ways

You might be interested in

Another way to write g(h(x)) is<br><br> (gOh)(x)<br> (hog)(x)

o-na [289]

Answer:

A. Another way to write g(h(x)) is (g×h)(x)

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

7 0

1 year ago

Which ordered pair is not a point of the graph of y=1/2x-7

Tresset [83]

Where is the graph???

4 0

3 years ago

The drawing plan for an art studio shows a rectangle that is 15.2 inches by 8 inches. The scale in the plan is 4 in.: 5 ft. Find

Kamila [148]

Answer:

Length: 19 feet

Width: 10 feet

Area: 190 feet $x^{2}$

Step-by-step explanation:

This is a question about ratio.

Length: let $x$ be the actual length.

$15.2 : x = 4 : 60$

$x = 19$

Width: let $y$ be the actual width.

$8 : y = 4 : 60$

$y = 10$

Area: A = xy

$19 * 10 = 190$

3 0

3 years ago

G a tanker has developed a leak in pristine bay and has spilled a considerable amount of oil. the good news is that oil-eating b

alexandr402 [8]

$V = \pi r^2 h \\ \\ \frac{dV}{dt} = 2\pi r h \frac{dr}{dt} + \pi r^2 \frac{dh}{dt} \\ \\ -5 =2 \pi (500)(.01)\frac{dr}{dt} + \pi (500^2)(-.001) \\ \\ \frac{dr}{dt} = \frac{250 \pi -5}{10 \pi} = \frac{50 \pi - 1}{2 \pi}$

7 0

3 years ago

A mother decides to teach her son about a letter each day of the week. She will choose a letter from the name of the day. For ex

avanturin [10]

Answer:

Check Explanation

Step-by-step explanation:

The days of the week include

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

a) So, the possible letters to be taught include

A, D, E, F, H, I, M, N, O, R, S, T, U, W, Y

There are indeed 15 possible letters.

These are the letters from which all the days of the week are formed from.

b) There are more than 4 letters that can't be taught using this method.

All the letters that cannot be taught using this method because no day of the week contains them include

B, C, G, J, K, L, P, Q, V, X, Z

c) In Tuesday, there are 7 distinct letters.

So, the sample space consist of 7 letters.

n(sample space) = 7

n(Y) = 1

Probability of picking a Y = (1/7)

The reasoning is simple, picking a Y on a Tuesday is one out of 7 possible outcomes, so, the probability of picking a Y on a Tuesday to teach the kid about = (1/7) = 0.143

Hope this Helps!!!

6 0

3 years ago

How many different ways can the letters of ​" accommodate​" be​ arranged?

How many different ways can the letters of " accommodate" be arranged?