Jika

Posted on

a = (0!)!)!)!)!
b = (2 + 3)!
c = 2! + 1! x 0!
maka, tentukan nilai dari
= a + b + c ​

Jika

a = (0!)!)!)!)! = 1

b = (2 + 3)! = 5! = 120

c = 2! + 1! x 0! = 2 + 1 × 1 = 2 + 1 = 3

_______________________

a + b + c

= 1 + 5! + 2!

= 1 + ( 5 × 4 × 3 × 2 × 1 ) + 3

= 1 + ( 20 × 3 × 2 × 1 ) + 3

= 1 + ( 60 × 2 × 1 ) + 3

= 1 + ( 120 × 1 ) + 3

= 1 + 120 + 3

= 121 + 3

= 124

a + b + c = 124

Langkah Penyelesaian

Faktorial 0, hasilnya 1. Faktorial 1 hasilnya 1

a = (0!)!)!)!)!

a = (1!)!)!)!)

a = (1!)!)!)

a = (1!)!)

a = 1!

a = 1

b = (2 + 3)!

b = 5!

b = 5 × 4 × 3 × 2 × 1

b = 20 × 3 × 2 × 1

b = 60 × 2 × 1

b = 120

c = 2! + 1! × 0!

c = 2 + 1 × 1

c = 2 + 1

c = 3

a + b + c

>> 1 + 120 + 3

>> 121 + 3

>> 124