What are the odds that, upon rolling the five dice, you would be able to spell t!


Question:

What are the odds that, upon rolling the five dice, you would be able to spell the name of a Neopet species wi

What are the odds that, upon rolling the five dice, you would be able to spell the name of a Neopet species with some or all of the letters displayed on the dice? Assume each die can only be used once in the word; for example, if you rolled "A,A,B,C,D" you could use A twice, but B, C, and D only once.


Answers:

LOL
I'm interested in the same answer, but unfortunately I don't know what the answer is. Perhaps the following info. will help a math person figure it out. After all, there a lot of people that don't know what Neopets is.
The five dice are identical and have six faces. The following letters are on each dice: E O I Y K R
The Neopet species with the shortest name is KOI.
In other words, three out of the five dice need to spell KOI.
I know that when you roll five dice there are 7,776 different possible outcomes. The question is . . . How many out of those 7,776 will have a K, an O, and an I.
If you assign numbers to each dice. It would be like trying to roll a 2, a 3, and a 5.
I don't know how to easily figure the odds on this one. I hope somebody else can.


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