10!
9!
8!
7!
2!
nt:pnten sya pnya siapa-,
Jawab:
1. 3628800
2. 36280
3. 40320
4. 5040
5. 2
Penjelasan dengan langkah-langkah:
Rumusan faktorial:
[tex]n!=n[/tex]×[tex](n-1)[/tex]×[tex](n-2)[/tex]×[tex](n-3)[/tex]×...
Misal:
Tentukan nilai 5!
[tex]n!=n[/tex]×[tex](n-1)[/tex]×[tex](n-2)[/tex]×[tex](n-3)[/tex]×...
[tex]5!=5[/tex]×[tex](5-1)[/tex]×[tex](5-2)[/tex]×[tex](5-3)[/tex]×[tex](5-4)[/tex]
[tex]5!=(5)(4)(3)(2)(1)[/tex]
[tex]5!=120[/tex]
[tex]10!=(10)(9)(8)(7)(6)(5)(4)(3)(2)(1)[/tex]
[tex]10!=3628800[/tex]
[tex]9!=(9)(8)(7)(6)(5)(4)(3)(2)(1)[/tex]
[tex]9!=362880[/tex]
[tex]8!=(8)(7)(6)(5)(4)(3)(2)(1)[/tex]
[tex]8!=40320[/tex]
[tex]7!=(7)(6)(5)(4)(3)(2)(1)[/tex]
[tex]7!=5040[/tex]
[tex]2!=(2)(1)[/tex]
[tex]2!=2[/tex]
• 10! = . . .
= (10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (10 × 72 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (10 × 504 × 6 × 5 × 4 × 3 × 2 × 1)
= (10 × 3.024 × 5 × 4 × 3 × 2 × 1)
= (10 × 15.120 × 4 × 3 × 2 × 1)
= (10 × 60.480 × 3 × 2 × 1)
= (10 × 181.440 × 2 × 1)
= (10 × 362.880 × 1)
= (3.628.800 × 1)
= 3.628.800
• 9! = . . .
= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (72 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (504 × 6 × 5 × 4 × 3 × 2 × 1)
= (3.024 × 5 × 4 × 3 × 2 × 1)
= (15.120 × 4 × 3 × 2 × 1)
= (60.480 × 3 × 2 × 1)
= (181.440 × 2 × 1)
= (362.880 × 1)
= 362.880
• 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
• 2! = . . .
= (2 × 1)
= 2
[answer.2.content]
