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JEE MATHEMATICS MCQ: PERMUTATIONS

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Analyzing +4 | -1
The value of (2⋅1P0−3⋅2P1+4⋅3P2−…\left(2 \cdot{ }^{1} P_{0}-3 \cdot{ }^{2} P_{1}+4 \cdot{ }^{3} P_{2}-\ldots\right. up to 51th 51^{\text {th }} term )) +(1!−2!+3!−…+\left(1 !-2 !+3 !-\ldots\right. up to 51th 51^{\text {th }} term )) is equal to :
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Correct option: C
1+(52)1+(52) !
Option C (1+(52)!) is correct because after simplifying the expression, the result equals 1+(52)!

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