Question

6 boys and 6 girls attend a birthday party and play pin the tail on the donkey. how many different arrangements of first, second, and third are there?

Answer 1

Given that there are 6 boys and 6 girls in a birthday party, the number of different arrangements of first, second, and third is given by:


`^(12)P_3= (12!)/((12-3)!) \\ \\ = (12!)/(9!) = (12*11*10*9!)/(9!) \\ \\ =12*11*10=1,320`