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Penjelasan dengan langkah-langkah:

Soal :

90 ÷ ( 10! ÷ 9! ) =

Penyelesaian soal :

= 10!

= 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 90 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 720 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 5.040 x 6 x 5 x 4 x 3 x 2 x 1

= 30.240 x 5 x 4 x 3 x 2 x 1

= 151.200 x 4 x 3 x 2 x 1

= 604.800 x 3 x 2 x 1

= 1.814.400 x 2 x 1

= 3.628.800 x 1

= 3.628.800

= 9!

= 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 72 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 504 x 6 x 5 x 4 x 3 x 2 x 1

= 3.024 x 5 x 4 x 3 x 2 x 1

= 15.120 x 4 x 3 x 2 x 1

= 60.480 x 3 x 2 x 1

= 181.400 x 2 x 1

= 362.880 x 1

= 362.880

Kesimpulan :

90 ÷ ( 10! ÷ 9! )

= 90 ÷ ( 3.628.800 ÷ 362.880 )

= 90 ÷ 10

= 9

by alwiandikaa26

semoga dapat membantu Anda

Cara =

1..)

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.

10! = 90 x 6 x 30 x 24 = 3.628.800.

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.

9! = 72 x 42 x 20 x 6 = 362.880.

90 ÷ (3.628.800 ÷ 362.880).

90 ÷ 10 = 9.