Factorial Notation

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JEE Main 2020 - 3 Sep (Morning)

The value of $(2 \cdot^{1} P_{0} - 3 \cdot^{2} P_{1} + 4 \cdot^{3} P_{2} - ... up to 5 1^{t h} term) + (1! - 2! + 3! - ... up to 5 1^{t h} term)$ is equal to :

1 + (52)!

1 - 51 (51)!

1 + (51)!

JEE Main 2021 (March) (18 March Shift 1)

The missing value in the following figure is Use the logic which gives answer in single digit

JEE Main 2023 (31 January Shift 2)

If $\frac{^{2 n + 1} P _{n - 1}}{^{2 n - 1} P _{n}} = 11 : 21$ , then $n^{2} + n + 15$ is equal to:

JEE Main 2026 (21 January Shift 2)

The largest $n \in N$ , for which $7^{n}$ divides $101!$ , is :

JEE Main 2026 (24 January Shift 2)

The largest value of $n$ , for which $4 0^{n}$ divides $60!$ , is