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Murrr4er [49]
3 years ago
14

How many different 11-letter words (real or imaginary) can be formed from the letters in the word MATHEMATICS?

English
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

Correct Answer is "4,989,600"

Explanation:

For this problem, we have n objects that are not distinct. The equation will provide us with the answer we need. There are a total of 11 letters. 3 of the letters are double letters, and the rest of the 6 are single letters.

There are 11! unique arrangements of 11 different objects (the objects in this case are letters). But since we have 2 A's, 2 I's and 2 N's, we must divide by the number of ways those can be rearranged creating indistinguishable combinations. That is 2! 2! 2!, meaning the answer is:

11! / (2! 2! 2!) = 4, 989, 600

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These buildings affected the way Roman lives because it depended on their classification inside their social pyramid. It meant that there were two types of people rich and poor. Rich people used to live outside the city, beautiful landscape around their houses. Their monumental houses were well designed full of servants and slaves to provide all kind of services, but on the other hand of the coin, we had poor people, they lived in deteriorated houses, most of them without a hard roof. These people lived with afraid of losing their houses. It could be destroyed by a strong tornado or a huge fire.

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