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Kruka [31]
3 years ago
11

What is true about a figure dilated by a scale factor of 1

Mathematics
1 answer:
motikmotik3 years ago
4 0
Just something that is true or are there choices? If just something true then dialated by 1 is always the same as the original shape.
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How many words of five letters can be created that start with the letter T, contain 2 other consonats and end with 2 vowels? Not
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If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

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\dbinom{20}2=\dfrac{20!}{2!(20-2)!}=190

ways of picking the consonants.

We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

4!\dbinom52\dbinom{20}2=\boxed{45,600}

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