seven performers A,B,C,D,E,F and G are to appear in a talent contest. the order of appearance is by random selection. find the probability of the following events:
a. C will perform first
b. F or G will perform first
c. they will appear in the order C,D,E,A,B,F,G

Question

seven performers A,B,C,D,E,F and G are to appear in a talent contest. the order of appearance is by random selection. find the probability of the following events: 
a. C will perform first
b. F or G will perform first 
c. they will appear in the order C,D,E,A,B,F,G

anonymous · Answer

a 1/7
b 2/7
c 1/5040 since there are 7! ways to order the letters, and C,D,E,A,B,F,G is one of the 5040 ways to order the problem.