[tex]\small{\colorbox{cyan}{\red{\boxed{\blue{ \sf\:✨ \small{quis \: aneh}✨{ \small{\pink{\boxed{\red{\: \tt \: - by \: caseyparel - \:}}}}}}}}}}[/tex]
5! + 3!
6! + 7!
Note = ;-;
Pendahuluan :
Faktorial adalah hasil kali bilangan asli berurutan dari 1 sampai dengan n.
n! = n × ( n - 1 ) × ... × 3 × 2 × 1
n disebut faktorial.
Definisi :
[tex] \sf \: n! = 1 \times 2 \times 3 \times ... \times (n - 2) \times (n - 1) \times n[/tex]
Contoh :
[tex] \sf \: 3! = 3 \times 2 \times 1[/tex]
[tex] \sf = 6 \times 1[/tex]
[tex] \sf = 6[/tex]
====================================================
Pembahasan :
Soal :
5! + 3! =
Jawab :
[tex] \sf5! + 3![/tex]
[tex]5! = 5 \times 4 \times 3 \times 2 \times 1[/tex]
[tex] = 120[/tex]
[tex]3! = 3 \times 2 \times 1[/tex]
[tex] = 6[/tex]
[tex]120 + 6[/tex]
[tex] = 126[/tex]
Kesimpulan :
5! + 3! = 126
__________________________________________
Soal :
6! + 7! =
Jawab :
[tex]6! + 7![/tex]
[tex]6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1[/tex]
[tex] = 720[/tex]
[tex]7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1[/tex]
[tex] = 5.040[/tex]
[tex]720 + 5.040[/tex]
[tex] = 5.760[/tex]
Kesimpulan :
6! + 7! = 5.760
====================================================
[tex]{\boxed{\colorbox{lavender}{\colorbox{aqua}{\tt{answer\:by:zhad}}}}}[/tex]
Jawaban:
1. 5! + 3! = (5 × 4 × 3 × 2 × 1) + (3 × 2 × 1)
= 120 + 6
= 126
2. 6! + 7! = (6 × 5 × 4 × 3 × 2 × 1) + (7 × 6 × 5 × 4 × 3 × 2 × 1)
= 720 + 5.040
