lease help me write these in R script/Code

1, Six kids are standing in line. What is the probability that they are in alphabetical order by name? Assume no two children have the same exact name.

2, Remember the kids from the last question? There are three boys and three girls. How likely is it that all the girls come first?

3, In six coin tosses, what is the probability of having a different side come up with each throw, that is, that you never get two tails or two heads in a row?

4, A random five-card poker hand is dealt from a standard deck. What is the chance of a flush (all cards are the same suit)?

5, In a random thirteen-card hand from a standard deck, what is the probability that none of the cards is an ace and none is a heart ()?