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JEE MATHEMATICS MCQ: PERMUTATIONS

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Application +4 | -1
The value of (7C0+7C1)+(7C1+7C2)+…+(7C6+7C7)\left({ }^7 C_0+{ }^7 C_1\right)+\left({ }^7 C_1+{ }^7 C_2\right)+\ldots+\left({ }^7 C_6+{ }^7 C_7\right) is
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Correct option: A
28−22^8-2
Option A (28−22^8-2) is correct because the given expression can be simplified using binomial coefficient identities to equal 28−22^8-2.

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