How many different 10-letter words (real or imaginary) can be formed from the letters of the word LITERATURE?
1 answer:
Answer:
The number of words that can be formed from the word "LITERATURE" is 453600
Step-by-step explanation:
Given
Word: LITERATURE
Required: Number of 10 letter word that can be formed
The number of letters in the word "LITERATURE" is 10
But some letters are repeated; These letters are T, E and R.
Each of the letters are repeated twice (2 times)
i.e.
Number of T = 2
Number of E = 2
Number of R = 2
To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;
Number of words that can be formed =
Number of words =
Number of words =
Number of words = 453600
Hence, the number of words that can be formed from the word "LITERATURE" is 453600
You might be interested in
Answer:
25.6 units
Step-by-step explanation:
From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).
First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:
where
are the coordinates of the first point
are the coordinates of the second point
- For AB:
- For BC:
- For AC:
Next, now that we have our lengths, we can add them to find the perimeter of our triangle:
We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.