Answer:
The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Step-by-step explanation:
We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E.
There are 9 letters in the word WONDERFUL
There is a condition that letter R is always next to E.
So, We have two letters fixed WONDFUL (ER)
We will apply Permutations to find ways of arrangements.
The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways
The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways
The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways
So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Answer: It's 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
it is 6
Answer:
390=W 195=L Area=76050
Step-by-step explanation:
You have two lengths and one width for your perimeter
P= 2L + W
you are given your perimiter 780
780= 2L + W
To solve for your maximum Width
780-2L=w
Area is L * W
A= (780-2L)*L
A= 780L - 2L^2
the derivitive of the Area
A' = 780-4L =0
add 4L to both sides
780=4L
divide by 4 on both sides
195=L
Bring back 780-2L=W and plug in what you now know is L
780-2(195)=W
780-390=W
390=W
Answer:
Step-by-step explanation:
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