Question

In how many ways can Carlos memorize the names of the five great lakes?

Answer 1

Please show your work and use the Pr Cr thingy.

Answer 2

do you mean in how many different arrangements of order?

Answer 3

if so you are permuting all 5 objects. 5!=120= 5P5

Answer 4

I thought it was combinations
can you show work?

Answer 5

The question isn't really specific. I think it just means how many distinct arrangements of the 5 great lakes are there. Then there is 5 choices for the first, 4 for the second,...
5*4*3*2*1. This is nPr(5,5) or permuting 5 objects out of a set of 5. nPr(5,5)=120

Answer 6

there are 5 choices *

Answer 7

Thanks so much... I have a final tomorrow and cant remember those for the life of me! u got any way to remember?

Answer 8

the difference between permutation and combination?

Answer 9

yes.

Answer 10

permutation is used when the order matters, combination is used when order does not matter. For example if you want to know how many groups of 3 lakes can be chosen out of the 5 great lakes order doesn't matter, you just want to know how many sets of 3 there are. So then you would do nCr(5,3)=5!/(3!2!)=10

Answer 11

thanks again.

Answer 12

you're welcome