Hello,
I would love to answer but there is no screenshot to see!
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 = ![\frac{10!}{2!2!2!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B2%212%212%21%7D)
Number of words = ![\frac{10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{2 * 1 * 2 * 1 * 2 * 1}](https://tex.z-dn.net/?f=%5Cfrac%7B10%20%2A%209%20%2A%208%20%2A%207%20%2A%206%20%2A%205%20%2A%204%20%2A%203%20%2A%202%20%2A%201%7D%7B2%20%2A%201%20%2A%202%20%2A%201%20%2A%202%20%2A%201%7D)
Number of words = ![\frac{3628800}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3628800%7D%7B8%7D)
Number of words = 453600
Hence, the number of words that can be formed from the word "LITERATURE" is 453600
By adding all of the numbers on the the outside lines
What’s the question/what are the options?
The random nature of the process is why Gina doesn't get the theoretical probability. If she were to repeat this experiment say 1000 or perhaps 10,000 times, then her experimental probability value should get closer to 1/2. It likely won't land *exactly* on 1/2 because again of the random nature of the outcomes.
For more information, check out the Law of Large Numbers.