Question

what is the difference between a permutation and a combination?

Answer 1

is is that in a permutation order matters and in a combination it doesn't? rly confused o.O

Answer 2

in a "permutation" you consider different orderings as different
like if you have ten people and you are going to give a first, second and third prize

Answer 3

combination would be if you had ten people and you were going to give three of them identical prizes , order doesn't matter

Answer 4

oh so if you have five people and you must choose a President, vice president and secretary, it would be permutation?

Answer 5

if you play a card game and get five cards, say in draw poker, the order you get the cards in makes no difference, that would be a combination

but if you had stud poker were you bet after each card, then order would matter and that would involve permutations

Answer 6

the answer to your question is "yes"

Answer 7

wow thanks :)

Answer 8

ok so i have a problem: A panel of judges is to consist of 4 women and 3 men. A list of potiental judges includes 7 women and 6 men. How may different panels could be created from this list?

Answer 9

\[_{7}C _{4} = (7\times6\times5\times4)/(4\times3\times2\times1) = (840)/(35) = 24\]

Answer 10

for this one you need to calculate
\[\dbinom{7}{4}\times \dbinom{6}{3}\]

Answer 11

or in your notation
\[_7C_4\times _6C_3\]

Answer 12

ohhh k thanks so much :)

Answer 13

Numbers can be ordered in permutation, while combination involves numbers being combined to form one consolidated aggregate or a single aggregate.