(a)[1]
In how many distinct ways can the 10 letters of the word SEYCHELLES be arranged?
(b)[3]
How many distinct arrangements are there of the 10 letters in the word SEYCHELLES in which the two Ss have exactly two letters between them and one of those two letters is C?
(c)[3]
How many distinct arrangements are there of the 10 letters in the word SEYCHELLES with an S at the start, an S at the end, and the three Es not all adjacent?
(d)[3]
Find the probability that the 5 letters chosen include all three Es.