#Permutations and Combinations

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grim vessel
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math teacher was teaching geometry and out of nowhere slammed us with this. can someone show me if im doing it right? (description inside message)

hearty oracleBOT
grim vessel
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so basically

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14 different ingredients

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it ask whats the probability of them guessing the 3 ingredients your thinking of

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so

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would it be like

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14 x 13 x 12

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which is 2184

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and then you do 3!

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which is 6

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then you divide them

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which gives you 364

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is that how you do it?

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teacher said she won't help us because shes mad because some kids kept on talking

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and how would i put this into fraction probablity form?

molten bronze
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it's 3/14 * 2/13 * 1/12

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so like you said 3!/(14x13x12)

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the first guess they have 3 correct options out of 14

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the second time they have 2 correct options out of 13

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and the third they only have 1 correct option out of 12

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so you multiply to get the probability of those 3 events occurring in a row