Question

kisha has five different marbles how many different ways can she place the marbles into two bags so that at least one marble is in each bag?

Answer 1

can you tell the marbles apart?

Answer 2

let us assume that she can. can she tell the bags apart?

Answer 3

it doesnt give me more information

Answer 4

if she can tell the bags apart then lets call one A and one B
1) one marble in bag A, 4 in bag B, number of ways to choose 1 of the 5 marbles is \(\binom{5}{1}=5\)
2) two in one bag, 3 in the other
\(\binom{5}{2}=10\)
3) 3 in bag A, two in bag B
\(\binom{5}{3}=10\)
4) 4 in bag A, one i bag B
\(\binom{5}{4}=5\)add up and get 30

Answer 5

thank you so much for your help

Answer 6

yw