ʻO ka mana hoʻohui i: nCr = n! / ((n u2013 r)! r!) n = ka helu o nā huahana.
Eia, Pehea ʻoe e helu ai i ka laʻana hui? Hoʻohana ʻia ke ʻano hoʻohui e ʻimi i ka helu o nā ala o ke koho ʻana i nā mea mai kahi hōʻiliʻili, ʻaʻole pono ke ʻano o ke koho ʻana.
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Kumu no ka Hui.
Hui Pūʻulu | nCr=n!(nu2212r)!r! n C r = n! (n u2212 r)! r! |
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Hui Pū ʻia me ka hoʻohana ʻana i ka Permutation | C(n, r) = P(n, r)/ r! |
He aha ka mea i hui pū ʻia me ka laʻana? ʻO kahi hui kahi koho o nā mea āpau a i ʻole kekahi hapa o kahi hoʻonohonoho o nā mea, me ka nānā ʻole i ke ʻano o ke koho ʻana i nā mea. Eia kekahi laʻana, manaʻo e loaʻa iā mākou kahi pūʻulu o nā leka ʻekolu: A, B, a me C. … ʻO kēlā me kēia koho koho he laʻana o ka hui ʻana. ʻO ka papa inoa piha o nā koho i hiki ke koho ʻia: AB, AC, a me BC.
Eia hou He aha ke ala maʻalahi e helu ai i nā hui?
He aha ka waiwai o 8C5? (n−r)! 8C5=8!
He aha ka waiwai o 5c 2?
5 Koho 2 = 10 hiki ke hoʻohui ʻia. ʻO 10 ka huina nui o nā hui like kūpono no ke koho ʻana i 2 mau mea i ka manawa mai 5 mau ʻokoʻa ʻokoʻa me ka ʻole e noʻonoʻo i ke kaʻina o nā mea i nā helu helu & nā loiloi ʻaʻa a hoʻokolohua paha.
He aha ka waiwai o ka hui 8 5? (n–r)! = (8 – 5)! (8 – 5)! = 3!
He aha ka waiwai o 10 C 3? C3= 10! / 3! (7)!
He aha ka waiwai o 6C4?
(n−r)! r! 6C4=6!
He aha ka waiwai o 7v4? Hōʻuluʻulu: Ka hoʻololi ʻana a i ʻole ka hui ʻana o 7C4 is 35.
He aha ka pane o 5C3?
Huipuia a me Pascal Triangle
0C0 = 1 | ||
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2C0 = 1 | 2C1 = 2 | |
3C0 = 1 | 3C2 = 3 | |
4C0 = 1 | 4C1 = 4 | 4C2 = 6 |
5C1 = 5 | 5C3 = 10 |
He aha ka manaʻo o 3C2? 3v2. =3! (2!) (3-2)! =3!
He aha ka waiwai o 10 C 4?
Wehewehe i kēlā me kēia lā:
10 koho 4 = 201 hiki ke hoʻohui ʻia. ʻO 201 ka huina o nā hui like ʻole no ke koho ʻana i 4 mau mea i ka manawa mai nā mea ʻokoʻa me ka noʻonoʻo ʻole i ka hoʻonohonoho ʻana o nā mea i ka ʻikepili a me ka nānā ʻana a i ʻole ka hoʻokolohua.
He aha ka waiwai o 6 C 2?
E huli i ka 6C2. 6C2 = 6!/(6-2)! 2! = 6! / 4!
ʻEhia ka hui ʻana o nā helu 1 2 3 4? Wehewehe: Inā mākou e nānā i ka helu o nā helu hiki iā mākou ke hana me ka hoʻohana ʻana i nā helu 1, 2, 3, a me 4, hiki iā mākou ke helu penei: no kēlā me kēia huahelu (tausani, haneli, ʻumi, hoʻokahi), loaʻa iā mākou 4 nā koho helu. A no laila hiki iā mākou ke hana i 4 × 4 × 4 × 4 = 44 =Nā helu 256.
Pehea ʻoe e hoʻoponopono ai i 10 Factorials? like 362,880. E ho'āʻo e helu i ka 10! 10! = 10×9!
He aha ka 4C1?
4 KOHO 1 = 4 hiki ke hui. Wehewehe: I kēia manawa pehea e hiki mai ai No laila, ʻo 4 ka huina o nā hui like ʻole no ke koho ʻana i 1 mau mea i ka manawa mai 4 mau mea ʻokoʻa me ka noʻonoʻo ʻole i ka hoʻonohonoho ʻana o nā mea i loko o nā helu helu a me nā noiʻi kūpono a i ʻole nā hoʻokolohua. Mahalo 0.
He aha ka waiwai o 5C1? Huipuia a me Pascal Triangle
2C0 = 1 | 2C2 = 1 | |
3C0 = 1 | 3C2 = 3 | |
4C0 = 1 | 4C1 = 4 | 4C3 = 4 |
5C1 = 5 | 5C3 = 10 |
He aha ka waiwai o 6P4?
⇒6P4=6! (6−4)! =6!
He aha ka hui ʻana o 15c3? 0
He aha ka hoʻohui 4C2?
Ua ʻike mākou ua hāʻawi ʻia ke kumu hoʻoponopono no ka hoʻoponopono ʻana i nā ʻōlelo hoʻohui ʻia e: … Ke hoʻololi nei i ka n = 4 a me ka r = 2 i loko o ke kumu hoʻohālike i luna, 4C2 = 4! / [2! (4 - 2)!] = 4!/ (2!
He aha ka 7c3? 8×7×6=336. C7,3=7!( 3!)( 7−3)!= 7!(
Pehea ʻoe e hoʻoponopono ai i ka 5P2?
5P2 = 5! / (5 – 2)! = 5x4x3! / 3!
Pehea ʻoe e hana ai i ka 5C3 ma ka helu helu?
He aha ka 10C7?
⇒10C7=10! 7! ×3! =10×9×8×7×6×5×4×3×2 7×6×5×4×3×2 ×3×2. =10×9×83×2=120.
He aha ka hoʻohui 5C4?
nCr=(r!)( n−r)! aole ! No laila, 5C4=(4!)(