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Mathematics 14 Online
OpenStudy (anonymous):

Please help!!! I can't figure this one out... You are counting all the ways to create a list of five-letter strings of characters using only the following letters: {a, b, c, d, e, m, n, o, p, q, u, y, z} How many ways can you create a five-letter string of characters when you have these conditions: Must start with a vowel or y. Must end with a consonant or y. Must have the letter x in the middle position. Enter the numerical value in the answer box.

OpenStudy (amistre64):

what ahve you tried already?

OpenStudy (amistre64):

is the intent to have groups of five letters, or is duplicating elements feasible?

OpenStudy (anonymous):

I'm geting thrown off by the x - it is not on the list so I am assuming that it is just intended to be there? I assume duplicating is ok because it doesn't say that it's not...

OpenStudy (amistre64):

well, if x is not a typo, either in the list or on the information part; then there are exactly no ways to get an x in the middle

OpenStudy (anonymous):

So the answer would be 0? I've tried entering that and it says it is not right.

OpenStudy (amistre64):

then the question is simply written badly unless there is something that you are not sharing from it

OpenStudy (anonymous):

No, that is exactly how it is written.

OpenStudy (amistre64):

i see 13 elements; and 5 positions; i believe, if repetition is alliowed .... i wanna say that amounts to 13^5 ways, but the subject is a little hazy. I recall somethings about P and C and such ....

OpenStudy (amistre64):

"How many ways can you create a five-letter string of characters" lol, i spose thats not really one of the questions tho

OpenStudy (amistre64):

Must start with a vowel or y, 5 elements 5*13*13*13*13

OpenStudy (anonymous):

lol... I am so frustrated wtih this question. I've tried everything to solve it and every answer I type is is not correct. I am at a loss.

OpenStudy (amistre64):

Must end with a consonant or y; there are 9 elements to that 13*13*13*13*9 have you tried moving to the next question?

OpenStudy (amistre64):

can you offer up a screenshot?

OpenStudy (anonymous):

Yes, I have and I keep coming back to it because it is the last one to complete. It is holding me up being able to submit the assignment and and I don't want to give up! lol. Yes I can. Hold on for one moment.

OpenStudy (anonymous):

OpenStudy (amistre64):

spose you had 2 elements, {0,1} how many ways can you create groups of 3 that end in a 1? 001 011 101 111 2*2*1 = 4 ways spose you had 3 elements, {0,1,a} how many ways can you create groups of 4 that start with a 0? 1*3*3*3 = 27 is my guess, lets see 0000 0110 0a10 0001 0111 0a11 000a 011a 0a1a 0010 01a0 0aa0 0011 01a1 0aa1 = 27 001a 01aa 0aaa 0100 0a00 00a0 0101 0a01 00a1 010a 0a0a 00aa

OpenStudy (amistre64):

hmm, a spose that means that all 3 conditions must hold?

OpenStudy (amistre64):

well, lets try this; using the same concept as i portrayed; 5 elements avaliable for the start position 9 elements for the end position 1 element for the middle position (assuming it needs to be an x) and 13 elements for the other 2 positions each 5*13*1*13*9 = ?

OpenStudy (anonymous):

I tried 27 and it said it is not correct. Hold please and I'll try this last one...

OpenStudy (amistre64):

27 was just an example to see if my memory wasnt failing me :)

OpenStudy (anonymous):

Haha!! ! I am getting desperate! the last one we tried.

OpenStudy (amistre64):

you say youve already tried: 5*13*1*13*9 ?

OpenStudy (anonymous):

Yes, it's not correct... Grrr!

OpenStudy (amistre64):

well, its only worth 1 pt .... id say let it go into the etheral abyss :)

OpenStudy (anonymous):

I know! I'm stubborn though! lol I hate to lose points. lol

OpenStudy (anonymous):

Thank you for trying!

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