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Mathematics 21 Online
OpenStudy (ericwise):

Permutation word question, Grade 12. Help please asap.

OpenStudy (ericwise):

OpenStudy (mathmate):

@EricWise How many ways can you choose the middle (vowel)?

OpenStudy (ericwise):

one sec

OpenStudy (ericwise):

3, letters can be there, sorry my dad was talking to me

OpenStudy (mathmate):

So 3 ways! right?

OpenStudy (ericwise):

yep! We fill in a x3 into the center blank

OpenStudy (ericwise):

_ x 3 x _

OpenStudy (mathmate):

How many ways you can fill the first (left) letter?

OpenStudy (ericwise):

wait, this is easy isn't it? I was under the impression there were repetitions! :P

OpenStudy (ericwise):

The first blank can have 3 consonants

OpenStudy (mathmate):

There are no repetitions, so, as you said, it's easier that you think!

OpenStudy (ericwise):

the last can have 2, given that 3

OpenStudy (ericwise):

So we get: 3x3x2 !

OpenStudy (mathmate):

Do you have the answer? I think you're on the right track.

OpenStudy (ericwise):

18 possibilities :D

OpenStudy (mathmate):

\(\color{blue}{\Large\checkmark}{Right, way~to~go!}\)

OpenStudy (ericwise):

Thanks @mathmate :D btw how to you get the fancy text?

OpenStudy (mathmate):

\color{blue}{\Large\checkmark}{Way~to~go!} Add \) at the end, and \( at the beginning.

OpenStudy (mathmate):

If you right click and ask for the source of ANY fancy text, it will reveal all the secret if you choose Latex!

OpenStudy (ericwise):

oh awesome, thanks again :D

OpenStudy (mathmate):

You're welcome! :)

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