The question:

4. A restaurant offers 4 different vegetarian dishes and 6 different meat dishes. a How many ways are there for the restaurant to serve a party of 20 different people one dish each so that 8 vegetarian and 12 meat dishes are served? (b) How many ways are there for the restaurant to serve a party of 20 different people one dish each so that 17 vegetarian and 3 meat dishes are served? (c) What do your answers above have to do with the expansion of (4v + 6m )20 and the binomial theorem?4(a) 20 12 48 X 612 (b) (3) 417 x 63 (c) (a) is the coefficient of vom 2 in the expansion. (b) is the coefficient of v 7m' in the expansion