a) Find the number of different ways in which the 12 letters of the word STRAWBERRIES can be arranged
(i) if there are no restrictions,
(ii) if the 4 vowels $A$, $E$, $E$, $I$ must all be together.
b)(i) 4 astronauts are chosen from a certain number of candidates. If order of choosing is not taken into account, the number of ways the astronauts can be chosen is 3876. How many ways are there if order of choosing is taken into account?
(ii) 4 astronauts are chosen to go on a mission. Each of these astronauts can take 3 personal possessions with him. How many different ways can these 12 possessions be arranged in a row if each astronaut’s possessions are kept together?
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