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Alla [95]
2 years ago
6

In how many ways can 4 people be chosen and arranged in a straight line if there are 13 people from whom to choose?

Mathematics
1 answer:
solong [7]2 years ago
7 0

Answer:

17160

Step-by-step explanation:

Total number = n = 13

Number required = r= 4

If the number required does not have a specific order then combinations is chosen.

If a specific arrangement is required then permutations is used.

Here a  specific arrangement is mentioned therefore

13P4= 17160

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Read 2 more answers
The larger of two numbers is 5 less than twice the smaller. Their sum is 43. Find the numbers.
tatyana61 [14]
Let's set up an equation.
smaller number = x
larger number = 2x - 5
Now set up the equation so that the larger number plus the smaller number adds up to 43.
x + 2x - 5 = 43
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3x = 48 ( I added 5 to both sides)
x = 16 (I divided both sides by 3)

Now let's check it. Substitute 16 for every time there is an x.

16 + 2(16) - 5 = 43
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48 - 5 = 43
43 = 43
It checks. x is equal to 16, so that means:
smaller number = 16
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Hope this helps =)
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