A bucket contains 11 letters....

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In summary, the conversation discusses the number of 7 letter words that can be made using 3 vowels and 4 consonants from a bucket containing 11 letters. The suggested answer is 5C3x6C4x7!, but it was deemed incorrect by the college. The mentor suggests that there may be rules or restrictions on word construction that were not specified in the problem.
  • #1
paddo
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A bucket contains 11 letters: 5 vowels and 6 consonants.
How many 7 letter words can you make if you use 3 vowels and 4 consonants?

I think the ans should be 5C3x6C4x7!
but they say this is wrong at college.

Any help is appreciated. Thank you
Mentor note: Changed thread title to agree with problem statement.
 
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  • #2
What is the answer supposed to be? If you've stated the problem correctly then I agree with your answer.
 
  • #3
Are there any rules about word construction? Can it be any 3 vowels and any 4 consonants in any order? Does it have to be CVCVCVC? Etc.
 
  • #4
mjc123 said:
Are there any rules about word construction? Can it be any 3 vowels and any 4 consonants in any order? Does it have to be CVCVCVC? Etc.
But that would require a dictionary search, specification of the language, etc. I can't believe that the question was meant to require such things.
 
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Related to A bucket contains 11 letters....

1. How many letters are in the bucket?

There are 11 letters in the bucket.

2. What type of letters are in the bucket?

The type of letters in the bucket could be any combination of letters from the alphabet, such as A, B, C, etc.

3. Is the bucket full or partially filled with letters?

The bucket is not specified as being full or partially filled, so it could be either.

4. Can the letters in the bucket be rearranged to form words?

It is possible for the letters in the bucket to be rearranged to form words, but it is not specified if the letters are in a specific order or if they are all different letters.

5. What is the significance of the number 11 in the statement?

The number 11 represents the quantity of letters in the bucket, but it could also have other symbolic or contextual significance depending on the context in which the statement is being used.

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