Ryan is playing a multiplication game with a pile of 26 cards, each with a number on them. Each turn, he flips over two of the cards, and has to multiply the numbers. How many possible outcomes are there on Ryan's first turn flipping two cards?

Respuesta :

Answer:

There are 325 possible outcomes

Step-by-step explanation:

The number of ways or combinations in which we can select x elements from a group of n elements is equal to:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

So, if Ryan flips over two cards from the 26, the number of possible outcomes is equal to:

[tex]26C2=\frac{26!}{2!(26-2)!}=325[/tex]

Because he selects 2 cards from a group of 26 different cars.