13!/10!
Pakai cara &Rapi
NT: ;______;
Selamat mengerjakan
Q. ;___;
13!/10!
13!
= (13 × 12) × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= (156 × 11) × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= (1.716 × 10) × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= (17.160 × 9) × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= (154.440 × 8) × 7 × 6 × 5 × 4 × 3 × 2 × 1
= (1.235.520 × 7) × 6 × 5 × 4 × 3 × 2 × 1
= (8.648.640 × 6) × 5 × 4 × 3 × 2 × 1
= (51.891.840 × 5) × 4 × 3 × 2 × 1
= (259.459.200 × 4) × 3 × 2 × 1
= (1.037.836.800 × 3) × 2 × 1
= (3.113.510.400 × 2) × 1
= 6.227.020.800 × 1
= 6.227.020.800
10!
= (10 × 9) × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= (90 × 8) × 7 × 6 × 5 × 4 × 3 × 2 × 1
= (720 × 7) × 6 × 5 × 4 × 3 × 2 × 1
= (5.040 × 6) × 5 × 4 × 3 × 2 × 1
= (30.240 × 5) × 4 × 3 × 2 × 1
= (151.200 × 4) × 3 × 2 × 1
= (604.800 × 3) × 2 × 1
= (1.814.400 × 2) × 1
= 3.628.800 × 1
= 3.628.800
= 6.227.020.800/3.628.800
= 1.716
Kesimpulan hasilnya adalah : 1.716
Jawaban:
1716
Penjelasan dengan langkah-langkah:
13! = 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
13! / 10! = 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 dibagi dengan 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 1
Sehingga menjadi:
= 13 × 12 × 11 × 1
= 1716