Answer:
You could make 4,641,000 different choices.
Step-by-step explanation:
The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different choices could I make?
3 cards from a set of 52(number of cards on a standard deck).
4 Pokemon cards from a set of 10. So
[tex]T = C_{52,3}*C_{10,4} = \frac{52!}{3!49!}*\frac{10!}{4!6!} = 22100*210 = 4641000[/tex]
You could make 4,641,000 different choices.