How many strings of length 5 can be written using the letters {a,b,c,d,e,f} if no two consecutive letters can be the same? For example, we'd count adede but not acdde.

Answers

Answer 1
Answer:

Answer:

3750 strings.

Step-by-step explanation:

First we have 6 different letters to choose from (a, b, c, d, e, f) and we will make a string of length 5.

First, we would have to choose one of the letters, to do this we would have 6 choices.

For our second choice, we can only choose from 5 letters since we cannot choose the one that we already chose (no two consecutive letters can be the same).

Then, for our third choice, we would have to choose from 5 different letters (any letter but the one before).

Similarly for our fourth and fifth choice, we can choose 5 different letters.

Then, the total amount of strings would be:

6 x 5 x 5 x 5 x 5 = 6 x 5⁴ = 3750 strings.


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What is the quotient of 10?

What is the answer to a

Answers

Answer: a = b*r/n

Step-by-step explanation: Hope this helps :^)

Fortune is distributed as follows : the 1st $5 million to the dog,1/2 the remainder to the teacher,$50 million to hospital,of the remaining 50% to wife,40% to daughter,9% to lawyer,1% to son... son is getting $10,000-How much was the fortune?
- who gets the most money and how much?
-​

Answers

Answer:

Step-by-step explanation:

Working backward, $10,000 is 1% of $1,000,000, so that is the amount of the "remaining."

Apparently that is what is left of 1/2 the "remainder" after $50 million goes to the hospital. So 1/2 the "remainder" is $51M, which is also the amount the teacher gets. Those came out of a total of 2×$51M = $102M, which is the amount after the dog's $5M share.

The fortune was $107 million. The shares were ...

  • dog: $5 M
  • teacher: $51 M (the most money)
  • hospital: $50 M
  • wife: $500,000
  • daughter: $400,000
  • lawyer: $90,000
  • son: $10,000

Given: 44 - 2(3x + 4) = -18Prove: x = 9

Answers

Substitute 9 as x in the given function:
44-2(3(9)+4)=-18
Now check and see if the statement it true and simplify.
44-2(27+4)=-18
44-2(31)=-18
44-62=-18
-18=-18
You can see this is true !!
Show my work to answer this question .

The location of Sonia's school and home are plotted on the coordinateplane shown. What are the coordinates (x, y) of her school?

Answers

The coordinates of the school is (8,2)

The sum of three consecutive odd numbers is 69. What is the smallest of the three numbers?

Answers

Answer:

21

Step-by-step explanation:

Let the smallest of the numbers be N

The other two numbers (consecutive) would be written as (n + 2), (n + 4)

Expressing these as an equation gives : (n) + (n+2) + (n+4) = 69

opening the bracket and collecting like terms, we have:

n+n+n+2+4=69

3n + 6 = 69

3n = 69 - 6

3n = 63

Dividing both sides by 3 or making n the subject formular, we get:

n = 63/3

n = 21.

Note, the other numbers are: 21, 23, and 25

They are all odd numbers

Their sum equals to 69

Answers to the question

Answers

Answer:

2=53 employees(m)

4=91 employees(m)

6=129 employees(m)

8=167 employees(m)

Step-by-step explanation:

19x2=38+15= 53

19x4=76+15= 91

19x6=114+15=129

19x8=152+15=167

brainly making me answer sorry