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2 years ago

a new seporter at a family amusement park ask 10th person exiting the park about their experience at the park

Mathematics

1 answer:

Svet_ta [14]2 years ago

7 0

Answer:

Step-by-step explanation:

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A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

Pressing one button
Pressing a pair of buttons

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0

2 years ago

Will mark as brainliest !!!! WICH of the following results from taking the square root of a negative number? A) positive number

Vsevolod [243]

Answer:

i think it is A. i may be wrong though.

5 0

3 years ago

What is the answer for this

aksik [14]

A. C= 0.1d + 30

because if u take the point (100,40), then d= 100 and c=40. Now 0.1d means = 10 and 10 + 30 gives 40 which is equal to C.

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3 years ago

The South Memorial School is designing a new playground. There will be a walkway that diagonally crosses the square playground.

cestrela7 [59]

The playground is a square, so there will be a right triangle formed by diagonal and two sides. So sides length²*2=diagonal length². So the side length is 38.9 meter.

4 0

2 years ago

Find the mean of the data in the dot plot below

Firdavs [7]

The mean would be 5
Reason for this is that the mean is when all data is summed up then divided by how many data points there are
So 4+4+7=15
Then divide by 3 would equal 5
I hope this helps!

4 0

2 years ago

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a new seporter at a family amusement park ask 10th person exiting the park about their experience at the park​

a new seporter at a family amusement park ask 10th person exiting the park about their experience at the park