Do I use nCR or nPR for this problem

Cipher Admin Eldes has 4 Shadow Pokemon. He has a Manectric either male or female with either Lightningrod or Static, a male or female Salamence with Intimidate, a male or female Marowak with Rock Head or Lightningrod and a male or female Lapras with Water Absorb or Shell Armor. He also has a female Ninjask with Speed Boost and a male Flygon with Levitate. What are the chances that I can get a male Manectric with Lightningrod, a male Salamence, a female Marowak with Rock Head and a male Lapras with Shell Armor?

I don't know if this is for a class, but the idea of using Pokemon seems fun. At the same time, it makes things sound more confusing!

Remember, nCr and nPr are combinations and permutations, respectively. So try to use those more often. =)

What you want to use is combination. Combination does not take into account the ORDER. In permutations, ordering matters!

You want a Manectric with Lightningrod, a male Salamence, a female Marowak with Rock head, and so on. Does ordering matter? If not, then combination.

First, write down your choices:

Manetric: Male/Female, Lightning Rod/Static

Salamence: Male/Female, Intimidate

Marowak: Male/Female, Rock head/Lightning Rod

Lapras: Male/Female, Water Absorb/Shell Armor

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Then you have your Ninjask and Flygon (which I assume to be irrelevant to the question unless it has something to do with Pokemon genetics. I don't play Pokemon, so I don't know how to deal with that part.)

But your best bet would probably be to make a probabiity tree.

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