How old is candy cat from peppa pig
Miss Rabbit, Granddad Dog, Candy Cat, Peppa Pig, Grandpa Pig, Granny Pig, George Pig, Mummy Pig, and Daddy Pig live together. If one of the residents gets infected from being outside and an infected individual can only infect one healthy individual, then (a) how many ways can all of the residents get infected? (b) If Miss Rabbit and Candy Cat do not step outside then how many ways can everybody get infected? (c) What is the probability that Grandpa Pig and Granny Pig will sit on the same side if the first 6 characters sit at a table with three on each side?
Let there be 9 places such that one on ith place is infected at ith iteration. i.e. one on first position gets infected first then one on 2nd position gets infected second and so on. 9 animals live together. _ _ _ _ _ _ _ _ _ these represent the order of infection. If Miss Rabit is on 1st place, it means she was infected first. a) Number of ways they all get infected = total arrangements of 9 animals to these 9 spots = 9! = 362,880 b) Miss Rabbit and Candy Cat do not step outside: Hence there can be any of the remaining 7 animals on the 1st place. Total ways = 7*8*7*6*5….*1 = 7*8! = 282,240 c) Out of 6 people, Grandpa pig and Granny pig sit together. We first choose one side and then any one pair out of two pairs (12, 23 only, as 1,3 are not together) for them: ^2C_1*^2C_1 = 4 Then we arrange remaining 4 people on the 4 seats along with the interarrangement of Grandpa pig and Granny pig : 4!*2! = 48 Total ways = 48*4 = 192 Total arrangement of 6 animals on 6 places = 6! = 720
P(Grandpa pig and Granny pig together) = 192/720 = 0.267
How old is candy cat from peppa pig