A104643 Number of arrangements that can be formed by taking n distinct things out of 25.

1, 25, 600, 13800, 303600, 6375600, 127512000, 2422728000, 43609104000, 741354768000, 11861676288000, 177925144320000, 2490952020480000, 32382376266240000, 388588515194880000, 4274473667143680000, 42744736671436800000, 384702630042931200000, 3077621040343449600000

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..25

Formula

a(n) = 25! / (25 - n)!.

Example

a(3) = 25! / (25 - 3)! = 13800.

Mathematica

Table[n!*Binomial[25, n], {n, 0, 25}] (* G. C. Greubel, Sep 01 2018 *)

Prog

(PARI) a(n) = 25! / (25 - n)! ; \\ Michel Marcus, Aug 12 2013
(Magma) [Factorial(n)*Binomial(25, n): n in [0..25]] // G. C. Greubel, Sep 01 2018

Crossrefs

Sequence in context: A264220 A228827 A159661 * A162811 A163175 A163525

Adjacent sequences: A104640 A104641 A104642 * A104644 A104645 A104646

Keyword

nonn,fini

Author

Prashant Garg (prashant.garg1988(AT)yahoo.com), Feb 04 2008

Status

approved