Penyelesaian Soal :
No 1.
6!! × 10!!
(6 × 4 × 2) × (10 × 8 × 6 × 4 × 2)
(24 × 2) × (80 × 6 × 4 × 2)
48 × (480 × 4 × 2)
48 × (1.920 × 2)
48 × 3.840
184.320
No 2.
6! × 5! + 7! - 8!
(6 × 5 × 4 × 3 × 2) × 5! + 7! - 8!
(30 × 4 × 3 × 2) × 5! + 7! - 8!
(120 × 3 × 2) × 5! + 7! - 8!
(360 × 2) × 5! + 7! - 8!
720 × (5 × 4 × 3 × 2) + 7! - 8!
720 × (20 × 3 × 2) + 7! - 8!
720 × (60 × 2) + 7! - 8!
720 × 120 + (7 × 6 × 5 × 4 × 3 × 2) - 8!
720 × 120 + (42 × 5 × 4 × 3 × 2) - 8!
720 × 120 + (210 × 4 × 3 × 2) - 8!
720 × 120 + (840 × 3 × 2) - 8!
720 × 120 + (2.520 × 2) - 8!
720 × 120 + 5.040 - (8 × 7 × 6 × 5 × 4 × 3 × 2)
720 × 120 + 5.040 - (56 × 6 × 5 × 4 × 3 × 2)
720 × 120 + 5.040 - (336 × 5 × 4 × 3 × 2)
720 × 120 + 5.040 - (1.680 × 4 × 3 × 2)
720 × 120 + 5.040 - (6.720 × 3 × 2)
720 × 120 + 5.040 - (20.160 × 2)
720 × 120 + 5.040 - 40.320
(720 × 120) + 5.040 - 40.320
86.400 + 5.040 - 40.320
91.440 - 40.320
51.120
Jawaban:
>>> Factorial
» 184.320
» 51.120
Explain:
6!!
= (6x4x2)
= 48
10!!
= (10x8x6x4x2)
= 3.840
48 x 3.840
= 184.320
6!
= 6x5x4x3x2x1
= 30x4x3x2x1
= 120x3x2x1
= 360x2x1
= 720x1
= 720
5!
= 5x4x3x2x1
= 20x3x2x1
= 60x2x1
= 120x1
= 120
7!
= 7x6x5x4x3x2x1
= 42x5x4x3x2x1
= 210x4x3x2x1
= 840x3x2x1
= 2.520.2x1
= 5.040x1
= 5.040
8!
= 8x7x6x5x4x3x2x1
= 56x6x5x4x3x2x1
= 336x5x4x3x2x1
= 1.680x4x3x2x1
= 6.720x3x2x1
= 20.160x2x1
= 40.320x1
= 40.320
720 x 120 + 5.040 - 40.320 = 51.120
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FAKTORIAL.
Penyelesaian Soal :
No 1.
6!! × 10!!
(6 × 4 × 2) × (10 × 8 × 6 × 4 × 2)
(24 × 2) × (80 × 6 × 4 × 2)
48 × (480 × 4 × 2)
48 × (1.920 × 2)
48 × 3.840
184.320
No 2.
6! × 5! + 7! - 8!
(6 × 5 × 4 × 3 × 2) × 5! + 7! - 8!
(30 × 4 × 3 × 2) × 5! + 7! - 8!
(120 × 3 × 2) × 5! + 7! - 8!
(360 × 2) × 5! + 7! - 8!
720 × (5 × 4 × 3 × 2) + 7! - 8!
720 × (20 × 3 × 2) + 7! - 8!
720 × (60 × 2) + 7! - 8!
720 × 120 + (7 × 6 × 5 × 4 × 3 × 2) - 8!
720 × 120 + (42 × 5 × 4 × 3 × 2) - 8!
720 × 120 + (210 × 4 × 3 × 2) - 8!
720 × 120 + (840 × 3 × 2) - 8!
720 × 120 + (2.520 × 2) - 8!
720 × 120 + 5.040 - (8 × 7 × 6 × 5 × 4 × 3 × 2)
720 × 120 + 5.040 - (56 × 6 × 5 × 4 × 3 × 2)
720 × 120 + 5.040 - (336 × 5 × 4 × 3 × 2)
720 × 120 + 5.040 - (1.680 × 4 × 3 × 2)
720 × 120 + 5.040 - (6.720 × 3 × 2)
720 × 120 + 5.040 - (20.160 × 2)
720 × 120 + 5.040 - 40.320
(720 × 120) + 5.040 - 40.320
86.400 + 5.040 - 40.320
91.440 - 40.320
51.120
Jawaban:
>>> Factorial
» 184.320
» 51.120
Explain:
6!!
= (6x4x2)
= 48
10!!
= (10x8x6x4x2)
= 3.840
48 x 3.840
= 184.320
6!
= 6x5x4x3x2x1
= 30x4x3x2x1
= 120x3x2x1
= 360x2x1
= 720x1
= 720
5!
= 5x4x3x2x1
= 20x3x2x1
= 60x2x1
= 120x1
= 120
7!
= 7x6x5x4x3x2x1
= 42x5x4x3x2x1
= 210x4x3x2x1
= 840x3x2x1
= 2.520.2x1
= 5.040x1
= 5.040
8!
= 8x7x6x5x4x3x2x1
= 56x6x5x4x3x2x1
= 336x5x4x3x2x1
= 1.680x4x3x2x1
= 6.720x3x2x1
= 20.160x2x1
= 40.320x1
= 40.320
720 x 120 + 5.040 - 40.320 = 51.120