Kubara

Kubara bifatika bigufasha kubona impanuro yumubare watanzwe hamwe nintambwe zo kubara. Injiza numero yawe hanyuma ukande kubara kugirango utangire.

Igisubizo

Uruganda rwa 5 cyangwa 5! ni

120

Nigute ushobora kubara ibintu bifatika?

Kubara ibintu bifatika byumubare n cyangwa n!, Dushobora kugwiza imibare kuva 1 kugeza n kugirango tubone ukuri kwa n.

Rero, ibintu bifatika 5 cyangwa 5! irashobora kwandikwa gutya:

5! = 5 × 4 × 3 × 2 × 1
5! = 120

Imbonerahamwe

nn!Ibisobanuro
00! = 1Uruganda rwa 0 ni 1
11! = 1Uruganda rwa 1 ni 1
22! = 2Uruganda rwa 2 ni 2
33! = 6Uruganda rwa 3 ni 6
44! = 24Uruganda rwa 4 ni 24
55! = 120Uruganda rwa 5 ni 120
66! = 720Uruganda rwa 6 ni 720
77! = 5040Uruganda rwa 7 ni 5040
88! = 40320Uruganda rwa 8 ni 40320
99! = 362880Uruganda rwa 9 ni 362880
1010! = 3628800Uruganda rwa 10 ni 3628800
1111! = 39916800Uruganda rwa 11 ni 39916800
1212! = 479001600Uruganda rwa 12 ni 479001600
1313! = 6227020800Uruganda rwa 13 ni 6227020800
1414! = 87178291200Uruganda rwa 14 ni 87178291200
1515! = 1307674368000Uruganda rwa 15 ni 1307674368000
1616! = 20922789888000Uruganda rwa 16 ni 20922789888000
1717! = 355687428096000Uruganda rwa 17 ni 355687428096000
1818! = 6402373705728000Uruganda rwa 18 ni 6402373705728000
1919! = 121645100408832000Uruganda rwa 19 ni 121645100408832000
2020! = 2432902008176640000Uruganda rwa 20 ni 2432902008176640000

Ni iki gifatika?

Ibikorwa nibicuruzwa byose byuzuye bitarenze cyangwa bingana na n, byerekanwe na n! aho n numubare utari mubi. Ibintu bya n nabyo bingana nibicuruzwa bya n hamwe nibindi bito bito. Kurugero, nibyo kuko 5! = 5 × 4! = 5 × 4 × 3 × 2 × 1, Agaciro ka 0! ni 1, ukurikije amasezerano kubicuruzwa byubusa (kuva Wikipedia).