30 ! plz !
write an expression for the number of ways you can assign different birthdays to 23 people. (hint: think of the people as standing in a line, and you are going to assign a different number from 1 to 365 to each person.)
b. write an expression for the number of ways you can assign any birthday to 23 people. (hint: now think about assigning any number from 1 to 365 to each of 23 people.)
c. how can you use your answers to (a) and (b) to find the probability that no people in group of 23 have the same birthday? use a calculator to find the probability to the nearest ten-thousandth.
d. what is the probability that at least two people in a group of 23 have the same birthday? explain your reasoning.