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ElenaW [278]
4 years ago
6

How many five-letter codes can be made if no letter can be used twice? (There are 26 letters in the alphabet.)

Mathematics
1 answer:
Mkey [24]4 years ago
8 0

Answer:

7893600

Step-by-step explanation:

26*25*24*23*22 = 7893600

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When a group of colleagues discussed where their annual retreat should take place, they found that all the colleagues: 25 would
raketka [301]

Answer:

63 people

Step-by-step explanation:

We have the following:

Let P: the subset of those 25 who would not go to a park

Let B: the subset of those 27 who would not go to the beach

Let C: the subset of those 24 that would not go to a cottage

Thus:

The intersection PB of subsets P and B consists of 10 people (i.e. neither a park nor a beach)

The intersection BC of subsets B and C consists of 7 people (i.e. neither beach nor cottage)

The intersection PC of subsets P and C consists of 6 people (i.e. neither a park nor a cottage)

We are also told that the PBC intersection of subsets P, B, and C consists of 4 person (i.e. would not go to a park, beach, or cottage)

The complement of the union of the sets P, B and C for the whole group consists of 6 people (that is, willing to go to the three places)

The formula to apply is as follows:

# (PUBUC) = #A + #B + #C - #AnB - #BnC - #AnC + #AnBnC

Replacing:

 = 25 + 27 + 24 - 10 - 7 - 6 + 4

= 57 people

those who are willing to all who are 6 would be missing us, therefore:

57 + 6 = 63

The group consists of a total of 63 people.

8 0
3 years ago
HELP I DON'T UNDERSTAND THIS AT ALL!!!
Hatshy [7]

D__ is 7.5<x

C is x<10

Step-by-step explanation:

just do the inequality and graph

7 0
3 years ago
The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side
Zanzabum

Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:

0.91 feet, 0.73 feet, 1.23 feet.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are the lengths, given by x, y and z.

The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:

y = 3x - 2.

The length of the third side is 3/4 of the sum of the lengths of the first two sides, hence:

z = \frac{3(x + y)}{4} = \frac{3(4x - 2)}{4}

The perimeter of the triangle is 17.5 feet, hence:

x + y + z = 17.5

x + 3x - 2 + \frac{3(4x - 2)}{4} = 17.5

4x + \frac{3(4x - 2)}{4} = 19.5

16x + 12x = 25.5

x = 25.5/28

x = 0.91.

Then the other sides are:

  • y = 3x - 2 = 3(0.91) - 2 = 0.73 feet.
  • z = \frac{3(4 x 0.91 - 2)}{4} = 1.23 feet

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
Please help. Cleary show what the slope and y-intercept are for each problem. An explanation would be nice, but I'm not going to
Romashka-Z-Leto [24]

Answer:

7: Slope: -2/3

8: y-intercept: (0,6)

9: Slope: -2

10: y-intercept: (0,4)

6 0
3 years ago
Is 4-6 the same as 4+(-6)? Explain your response.
vova2212 [387]

Answer: Yes, 4-6 is the same as 4 + (-6).

Step-by-step explanation:

One reason why they are the same is because 4 - 6 equals -2 and 4 + (-6) also equals -2. You can turn 4 - 6 into 4 + (-6) by turning the subtraction sign to a plus sign and turn the positive 6 into a negative 6.

4 0
4 years ago
Read 2 more answers
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