JEE Advanced Mathematics question

Mathematics Permutations and Combinations JEE Advanced

The total number of ways in which six '+' and four '−' signs can be arranged in a line such that no two '−' signs occur together is

(A)
(B)
(C)35Correct
(D)none of these

Answer: (C)

Solution

Place the six '+' signs first (one way, since they are identical). They create 7 gaps (5 between them and 2 at the ends): . No two '−'

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Question ID VK-108156