Question

calculați:
(3!)!
(8!-7!+6!)·4!/6!
8!-7!/6!
2010!/2008!
9!+10!/11·7!

Answer 1

1) 3!=1*2*3=6
6!=1*2*3*4*5*6=720

2)(8!-7!+6!)*4!/6!=
7!=6!*7
8!=6!*7*8
6!=4!*5*6
Înlocuim
(6!*7*8-6!*7+6!)*4!/(4!*5*6)=(6!*56-6!*7+6!)*1/30=
=6!(56-7+1)*1/30=(6!*50)*1/30=(6!*5)/3=(720*5)/3=1200

3)8!-7!/6!
8!=6!*7*8
7!=6!*7

Înlocuim
6!*7*8-6!*7/6!=6!*56-7=720*56-7=40313

Sau dacă e totul supra 6!, atunci rezolvarea este:
(8!-7!)/6!
8!=6!*7*8
7!=6!*7
(6!*7*8-6!*7)/6!=6!(65-7)/6!=58

4)2010!/2008!=
2010!=2008!*2009*2010
Înlocuim:

(2008!*2009*2010)/2008!=2009*2010=4038090

5)(9!+10!)/11*7!=
9!=7!*8*9
10!=7!*8*9*10

Înlocuim:
(7!*8*9+7!*8*9*10)/11*7!=7!(72+720)/7!*11=792/11=72