A recipe has 6 ingredients, how many ways can you arrange the first 4 ingredients?

1 Answer

See below:

Explanation:

I'm not sure I understand the question, but here we go. Because of the uncertainty, I'll answer two ways:

If the question is asking about how we can add the first 4 ingredients in a recipe (and therefore the other 2 ingredients get added later), we get:

#4! = 24# ways

If the question is asking in how many ways we can add 4 ingredients first from a list of 6, then that's:

#6xx5xx4xx3=(6!)/(2!)=P_(6,2)=360#

(where #P_(6,2) # is the permutation notation I use to indicate 6 permute 2)