A 6-letter “word” is formed by selecting 6 of the 26 letters without replacement. Let A1 be the set of all words beginning with X and A2 be the set of all words ending with Y. Find the number of distinct words in (a) ?,∩?., (b) ?,∪?..
A) A1 A2
A1 :
26 letters
X __ __ __ __ __
25*24*23*22*21 ways
=6375600
A2 :
__ __ __ __ __ Y
25*24*23*22*21 ways
=6375600
A1 A2
X __ __ __ __ Y
=> 24*23*22*21 Ways
=> 255024
B)
A1 U A2 => A1 + A2 - A1 A2
=> 6375600 + 6375600 - 255024
=> 12496176
A 6-letter “word” is formed by selecting 6 of the 26 letters without replacement. Let A1...
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