What is the value of 2(2 1)+3(3 2 1)+4(4 3 2 1)+5(5 4 3 2 1)+ +9(9 8 7 6 5 4 3 2 1)+2?

NDA 2022 Mathematics question

What is the value of ?

Answer: (B)

Each term is . So $k· k! =

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Question ID VK-029313