Jawaban:

Pendahuluan :

✿ Faktorial adalah sebuah perkalian yang berurutan dan diawali dari angka yang dimaksud sampai dengan angka 1, faktorial mempunyai simbol yaitu tanda seru (!).

Contoh :

1! = 1

2! = 2 × 1 = 2

3! = 3 × 2 × 1 = 6

4! = 4 × 3 × 2 × 1 = 24

5! = 5 × 4 × 3 × 2 × 1 = 120

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5.040

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40.320

9! = 9×8×7×6×5×4×3×2×1 = 362.880

10! = 10×9×8×7×6×5×4×3×2×1= 3.628.800

✿ Penjumlahan merupakan penambahan sekelompok bilangan atau lebih menjadi suatu bilangan yang disebut jumlah penjumlahan disimbolkan dengan tanda tambah (+).

Sifat - sifat Penjumlahan :

( - ) + ( - ) = ( - )

( + ) + ( - ) = ( + )

( - ) + ( + ) = ( + )

Contoh pertambahan 1 :

1 + 1 = 2

2 + 1 = 3

3 + 1 = 4

4 + 1 = 5

5 + 1 = 6

6 + 1 = 7

7 + 1 = 8

8 + 1 = 9

9 + 1 = 10

10 + 1 = 11

Contoh pertambahan 2 :

1 + 2 = 3

2 + 2 = 4

3 + 2 = 5

4 + 2 = 6

5 + 2 = 7

6 + 2 = 8

7 + 2 = 9

8 + 2 = 10

9 + 2 = 11

10 + 2 = 12

Contoh pertambahan 3 :

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

4 + 3 = 7

5 + 3 = 8

6 + 3 = 9

7 + 3 = 10

8 + 3 = 11

9 + 3 = 12

10 + 3 = 13

✿ Pengurangan adalah salah satu bentuk dasar dari matematika. Pengurangan dilambangkan dengan tanda (-)

Sifat - sifat Pengurangan :

( - ) - ( - ) = ( - )

( + ) - ( - ) = ( + )

( - ) - ( + ) = ( - )

Contoh pengurangan 1 :

1 - 1 = 0

2 - 1 = 1

3 - 1 = 2

4 - 1 = 3

5 - 1 = 4

6 - 1 = 5

7 - 1 = 6

8 - 1 = 7

9 - 1 = 8

10 - 1 = 9

Contoh pengurangan 2 :

1 - 2 = -1

2 - 2 = 0

3 - 2 = 1

4 - 2 = 2

5 - 2 = 3

6 - 2 = 4

7 - 2 = 5

8 - 2 = 6

9 - 2 = 7

10 - 2 = 8

Contoh pengurangan 3 :

1 - 3 = -2

2 - 3 = -1

3 - 3 = 0

4 - 3 = 1

5 - 3 = 2

6 - 3 = 3

7 - 3 = 4

8 - 3 = 5

9 - 3 = 6

10 - 3 = 7

Penyelesaian :

= 2! + 9!

= ( 2 × 1 ) + ( 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 )

= ( 2 ) + ( 72 × 7 × 6 × 5 × 4 × 3 × 2 × 1 )

= ( 2 ) + ( 504 × 6 × 5 × 4 × 3 × 2 × 1 )

= ( 2 ) + ( 3.024 × 5 × 4 × 3 × 2 × 1 )

= ( 2 ) + ( 15.120 × 4 × 3 × 2 × 1 )

= ( 2 ) + ( 60.480 × 3 × 2 × 1 )

= ( 2 ) + ( 181.440 × 2 × 1 )

= ( 2 ) + ( 362.880 × 1 )

= 2 + 362.880

= 362.882

= 6! + 7!

= (6 × 5 × 4 × 3 × 2 × 1) + (7 × 6 × 5 × 4 × 3 × 2 ×1)

= (30 × 4 × 3 × 2 × 1) + (42 × 5 × 4 × 3 × 2 × 1)

= (120 × 3 × 2 × 1) + (210 × 4 × 3 × 2 × 1)

= (360 × 2 × 1) + (840 × 3 × 2 × 1)

= (720 × 1) + (2.520 × 2 × 1)

= (720) + (5.040 × 1)

= 720 + 5.040

= 5.760

Kesimpulan :

2! + 9! = 362.882

6! + 7! = 5.760

Pelajari lebih lanjut :

" Tentang Faktorial

• yomemimo.com/tugas/11267298

• yomemimo.com/tugas/23103696

Detail jawaban :

❐ Kelas : 12

❐ Mapel : Matematika

❐ Materi : Bab 7 - Kaidah pencacahan

❐ Kode Kategorisasi : 12.2.7

❐ Kata Kunci : faktorial