Determine the number of permutations (arrangements) possible of 9 things taken 3 at a time

How many ways can we select 5 cupcakes from 4 flavors(chocolate, vanilla, strawberry, and carrot) and get at least 1 chocolate-flavored cupcake?

How many ways can 7 cards be chosen from a standard deck

How many di erent arrangements are there of the letters A, B, C, D, E, and F for which E is not the last letter?

Explain why the number of combinations of n items taken rat a time can be computed by - r!

How many ways can you seat 8 people around a round table? Assume that the first person can choose any seat, and it doesn't matter where that person chooses. All that matters is where the others then choose to sit. Number different ways