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# What is the probability that a random permutation of the letters in MATHEMATICS contains the word TEA (with those three letters appearing co

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What is the probability that a random permutation of the letters in MATHEMATICS contains the word TEA (with those three letters appearing consecutively)? Give your answer as a simplified fractio

hi, answer is not 1/4, how should I do it(and solution)

Feb 9, 2020

#2
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Example:

How many ways can you arrange the letters BANANAS?

Well there is 1 B, there are 3 A's, there are 2 N's and there is one S.

There are a total of 7 letters

So its like this:

$$\frac{7!}{1!3!2!1!}$$

7!/(3!*2!) = 420

So there are 420 ways to arrange the letters BANANAS

Feb 9, 2020
#3
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Yes I know how to do that but how do I find the arrangements with TEA

Guest Feb 9, 2020
#4
+2824
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Hint: Think of TEA as one unique letter

CalculatorUser  Feb 9, 2020
edited by CalculatorUser  Feb 9, 2020