Our club has 10 members, and we need to appoint a president, a vice-president, and a secretary. How many ways can we do this if: (a) Each member can hold at most one office?

a is 560

b is 1020

can you explain your answers please?

theres no b

lol its a test question i remember seeing it. part b is if "Members can hold any number of offices?"

a ) 10 * 9 * 8 = 720

I agree, a) is 720, 10*9*8, but for b the question for b is "Members can hold any number of offices, and I think its 1000 because 10 * 10 *10