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Separate disjoint cases from inclusion–exclusion

Find the number of arrangements of the 6 letters in the word ELEVEN in which

(i) there are no restrictions,

(ii) all the 3 letters E are consecutive,

(iii) the first letter is E and the last letter is N,

(iv) the first letter is E or the last letter is N or both.

[J1986/I/10]

CJC · Discussion · Question 5

For an inclusive “or”, subtract the overlap once.

Read the worked solution