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In arrangements of (8) distinct letters (A,B,C,D,E,F,G,H), how many have (A) not appearing before both (B) and (C)?

Answer and explanation

Correct answer: (26880)

Among the (6) relative orders of (A,B,C), (A) is first in (2) orders, so the valid fraction is (4/6). Relative order solves such questions quickly.

Related tags

PermutationsRelative OrderLettersPermutations And CombinationsMathematicsClass 11 Mcq

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