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lakkis [162]
3 years ago
14

how many three digit numbers can be made using only the digits {1, 2, 4, 6, 8, 9} repetition is allowed

Mathematics
1 answer:
natali 33 [55]3 years ago
7 0

Answer:

56

Step-by-step explanation:

Given data:

{1 ,2 ,4, 6, 8, 9}

Formula for combinations is used since the order does not matter and repetition is allowed.

nCr = (n + r -1) /(r! * (n-1)!) where n is the total number of items and r is the items to be picked

6C3 = (6 + 3 - 1)! /(3! * (6 -1)!

6C3 = 8!/(3! *5!) Simplifying the factorials)

6C3 = 40320/(6*120)

6C3 = 40320/720

6C3 = 56

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Can someone please solve this problem for me
notsponge [240]

Answer:

D. 28.54

Step-by-step explanation:

To find the area of the shaded region, find the area of the circle and divide it in 4. This will the area of the portion with the triangle.

Now, find the area of the triangle and subtract the two. The resulting value will be the area of the shaded region.

Circle:

A = \pi r^2\\A = \pi 10^2\\A = 100 \pi\\A = 314

Divide by 4 for the area of the section with the triangle.

314/4 = 78.5

Triangle:

A = \frac{1}{2}bh\\A = 0.5 (10 )(10)\\A=0.5(100)\\A=50

Subtract the two, 78.5 - 50 = 28.5.

7 0
3 years ago
Jake tossed a paper cup 50 times and recorded how it landed. the table shows the results:
Darya [45]

The experimental probability of each event is as follows:

  • Landing open side up = 1/50 = 0.02 = 2%.
  • Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.
  • Landing on its side = 44/50 = 0.88 = 88%.

The experimental probability of an event is the ratio of the number of outcomes that favored the event to the total number of outcomes in the experiment.

In the question, we are given that Jake tossed a paper cup 50 times and recorded the position how it landed, which is shown in the table:

Open-sided up: 1

Closed side up 5

On the side: 44.

We are asked to determine the experimental probability of each outcome.

The number of outcomes, when the landing is open-sided up is 1.

The number of outcomes, when the landing is closed-sided up is 5.

The number of outcomes, when the landing is on the side up is 44.

The total number of times the experiment took place is 50.

Thus, the experimental probability of each event is as follows:

  • Landing open side up = 1/50 = 0.02 = 2%.
  • Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.
  • Landing on its side = 44/50 = 0.88 = 88%.

Learn more about the experimental probability at

brainly.com/question/24298250

#SPJ4

5 0
2 years ago
4(2x + 1) = 2(x - 13)
MakcuM [25]
The answer would be -5.
4 0
3 years ago
What is the answer too -6/7 x 3/8
IrinaK [193]

Answer:

-9/28

Step-by-step explanation:

<u>Step 1:  Solve</u>

-6/7 * 3/8

-18/56

-18/2 / 56/2

<em>-9/28</em>

<em />

Answer:  -9/28

6 0
3 years ago
25 times 55 wright it out please
lakkis [162]

Answer:

1375

Step-by-step explanation:

25*55= 1375

6 0
3 years ago
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