Matematika Q.6!+(4!+5!) Nt : Syeneng-^-​

franciskshlerinulv – March 06, 2023

Q.

6!+(4!+5!)

Nt : Syeneng-^-​

Jawabannya

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Penyelesaian

Diketahui

6! = 6 × 5 × 4 × 3 × 2 × 1

4! = 4 × 3 × 2 × 1

5! = 5 × 4 × 3 × 2 × 1

Jawab :

= 6! + ( 4! + 5! )

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

= ( 30×4×3×2×1 ) + ( 12×2×1 + 20×3×2×1 )

= ( 120×3×2×1 ) + ( 24×1 + 60×2×1 )

= ( 360×2×1 ) + ( 24 + 120×1 )

= ( 720×1 ) + ( 24 + 120 )

= ( 720 + 144 )

=> 864 ✍️

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Kesimpulan :

Jadi, hasil dari 6!+(4!+5!) adalah 864

_____________________

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Penjelasan dengan langkah-langkah:

6! + ( 4! + 5! )

= (6×5×4×3×2) + ((4×3×2) + (5×4×3×2))

= 720 + ((4×3×2) + (5×4×3×2))

= 720 + ( 24 + (5×4×3×2))

= 720 + ( 24 + 120 )

= 720 + 144

= 864

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