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ioda
3 years ago
14

how many different four letter permutations can be formed using four letters out of the first 12 in the alphabet?

Mathematics
1 answer:
Verizon [17]3 years ago
3 0

Answer:

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

Permutations of four letters from a set of 12 letters. So

P_{(12,4)} = \frac{12!}{(12-4)!} = 11800

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

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1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much
Mama L [17]
1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much does the factory worker make in U.S. in dollars per year?
 For this case we must first take the amount $ per month.
 We have then:
 1 $ ---> 4000
 x = ----> 320000
 Solving for x we ​​have
 x = (320000/4000) * (1) = $ 80 / month
 We have then that 1 year two 12 months
 ($ 80 / month) * (12 months / 1 year) = $ 960 / year
 Answer
 the factory worker make 960 U.S. in dollars per year

 2. People in Japan on average eat 3 ounces of fish per day. How many pounds of fish is this per week?

 For this case, the first thing you should know is that a week has 7 days.
 We can make a rule of three to find the number of ounces per week
 3 ---> 1
 x = ----> 7
 x = (7/1) * (3) = 21ounces / week
 Then, we should do the conversion of ounces to pounds
 1 oz = 0.0625 pounds
 Thus,
 (21ounces / week) * (0.0625 punds / 1 ounce) = 1.3125 pounds / week
 answer
 3 ounces of fish per day is 1.3125 pounds / week

 3. The town of Lloró, Colombia has an average yearly rainfall of 500 inches. On average, how many centimeters of rain does the town get each day?

 The first thing you should know in this case are the following conversions:
 1 year = 365 days
 1 inch = 2.54 centimeters
 We have the annual average rainfall is
 500 (inches / year)
 Making the conversion we have
 500 (inches / year) * (2.54) (centimeters / inches) * (1/365) (year / days) =
 3.45 (centimeters / days)
 Answer
 the town get each day 3.45 (centimeters / days)

4. The average American student is in class for 330 min / day. How many hours / day is this? Part b) How many sec / day?
 The first thing you should know for this case are the following conversions
 1 hour = 60 minutes
 1 minute = 60 seconds.
 Making the right conversions we have
 330 (min / day) * (1/60) (hour / minutes) = 5.5hours / day
 On the other hand we have
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 answer
 330 (min / day) = 5.5hours / day
 330 (min / day) = 19800 sec / day
7 0
3 years ago
I need help with this problem! Must explain why.
OLEGan [10]

Answer:

95°

Step-by-step explanation:

Angle 1 and 4 are opposite angles, thus equal, so:

3x+10 = 4x-15 =>

x = 25

Angle 1 and 4 are 85°

Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.

Angle 6 and 7 are again opposite, so angle 7 is 95° as well!

7 0
3 years ago
George walked around the entire perimeter of his rectangular garden. The length of his garden was 12 yards and the width was 8 y
Marina86 [1]
To find perimeter, you use this equation for a parallelogram:
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Let’s not put the numbers in,
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24+16
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So b, 40 yards is how much he walked.

















To
8 0
3 years ago
The book fair a sale where 4 books were $31.36.If you wanted to buy 3 books, how much money would you need
mote1985 [20]

Answer:

$23.52

Step-by-step explanation:

So first you would have to find how much each one would be if you were buying one individual book.  For that you would do 31.36/4 to get $7.84.  Then since you found that for only 1 book, you would need to multiply that by 3 to get $23.52

8 0
3 years ago
Read 2 more answers
Help please? I don’t know much about consecutive integers...
Ugo [173]
Consecutive intergers are numbers that follow each other in order.

The correct answer is 26 and 27 because it equals to 53 which is the closest to 52.
7 0
3 years ago
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