Q.-8!-4!=-4! +7! =~pake cara~jangan copas/nyontek ^^
Penyelesaian
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Faktorial adalah sebuah operasi hitung matematika yang menggunakan cara hitung perkalian berulang sebanyak angka faktor tersebut
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Dimana :
! = Faktorial
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Jenis Faktorial :
! = 5! = 5 × 4 × 3 × 2 × 1
!! = 5! = 5 × 3 × 1
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- 8!
- = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
- = 56 × 6 × 5 × 4 × 3 × 2 × 1
- = 336 × 5 × 4 × 3 × 2 × 1
- = 1.680 × 4 × 3 × 2 × 1
- = 6.720 × 3 × 2 × 1
- = 20.160 × 2 × 1
- = 40.320 × 1
- = 40.320
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- 4!
- = 4 × 3 × 2 × 1
- = 12 × 2 × 1
- = 24 × 1
- = 24
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- 7!
- = 7 × 6 × 5 × 4 × 3 × 2 × 1
- = 42 × 5 × 4 × 3 × 2 × 1
- = 210 × 4 × 3 × 2 × 1
- = 840 × 3 × 2 × 1
- = 2.520 × 2 × 1
- = 5.040 × 1
- = 5.040
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(-8!) – 4!
= (-8.-7.-6.-5.-4.-3.-2.-1 ) – ( 4.3.2.1 )
= 40.320 – ( 4.3.2.1 )
= 40.320 – 24
= 40.296
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(-4!) +7!
= ( -4.-3.-2.-1 ) + ( 7.6.5.4.3.2.1 )
= 24 + ( 7.6.5.4.3.2.1 )
= 24 + 5.040
= 5.064
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- ❐ Mapel : Matematika
- ❐ Kelas : 12 SMA
- ❐ Materi : Kaidah pecacahan
- ❐ Bab : 7
- ❐ Kode mapel : 2
- ❐ Kode kategorisasi : 12.2.7
- ❐ Kata kunci : faktorial
Penjelasan dengan langkah-langkah:
8!
= 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 56 × 6 × 5 × 4 × 3 × 2 × 1
= 336 × 5 × 4 × 3 × 2 × 1
= 1.680 × 4 × 3 × 2 × 1
= 6.720 × 3 × 2 × 1
= 20.160 × 2 × 1
= 40.320 × 1
= 40.320
_______
7!
= 7 × 6 × 5 × 4 × 3 × 2 × 1
= 42 × 5 × 4 × 3 × 2 × 1
= 210 × 4 × 3 × 2 × 1
= 840 × 3 × 2 × 1
= 2.520 × 2 × 1
= 5.040 × 1
= 5.040
______
4!
= 4 × 3 × 2 × 1
= 12 × 2 × 1
= 24 × 1
= 24
______
8! – 4!
= 40.320 – 24
= 40.296
4! + 7!
= 24 + 5.040
= 5.064