A bag contains 2 red marbles, 6 green ones, 1 lavender one, 6 yellows, and 2 orange marbles. hint [see example 7.] how many sets of four marbles include one of each color other than lavender?

Respuesta :

2+6+1+6+2=17 marbles

16 marbles not including lavender:

C(n,r) = P(n,r)/r!= (n*(n-1)(n-2).....(n-r+1))/(r(r-1).....1)

C(16,4) = (16*15*14*13)/(4*3*2*1) = 1820 sets of four marbles other than lavender.