Math problems need help

Question

Suppose we want to choose 7 objects without replacement from 12 distinct object. How many times can this be done if the order of choices does not matter? How many times can this be done if the order of choices matter?

Answer 1

12C7= 12!/5!7! = 12x11x10x9x8/5x4x3x2=132x6= 792

12P7= 12!/5!=12x11x10x9x8x7x6= 132x720x42= 3991680= almost 4 million

=7!(12C7)=7x6x5x4x3x2x792= 210x24x792=3,991,680