Jawab:
28. B. 90
29. A. 120
30. E. 42
31. C. 20
32. D. 24
33. E. 210
Penjelasan dengan langkah-langkah:
28. ₁₀P₂ = 10! / (10 - 2)!
= 10! / 8!
= (10 . 9 . 8!) / 8!
= 10 . 9 = 90
29. ₆P(siklis) = (6 - 1)!
= 5!
= 5 . 4 . 3 . 2 . 1
= 120
30. ₁₀P₄ : ₅P₄ = [10!/(10 - 4)!] : [5!/(5 - 4)!]
= [10!/6!] : [5!/1!]
= [10 . 9 . 8 . 7] : [5 . 4 . 3 . 2 . 1]
= 42
31. ₆C₃ = 6! /(6 - 3)! 3!
= 6! / (3! . 3!)
= (6 . 5 . 4 . 3!) / (3! . 3 . 2 . 1)
= 20
32. Banyak susunan kursi
= (5 - 1)!
= 4!
= 24
33. ₇P₃ = 7! /(7 - 3)!
= 7!/4!
= (7 . 6 . 5 . 4!) / 4!
= 210
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Verified answer
Jawab:
28. B. 90
29. A. 120
30. E. 42
31. C. 20
32. D. 24
33. E. 210
Penjelasan dengan langkah-langkah:
28. ₁₀P₂ = 10! / (10 - 2)!
= 10! / 8!
= (10 . 9 . 8!) / 8!
= 10 . 9 = 90
29. ₆P(siklis) = (6 - 1)!
= 5!
= 5 . 4 . 3 . 2 . 1
= 120
30. ₁₀P₄ : ₅P₄ = [10!/(10 - 4)!] : [5!/(5 - 4)!]
= [10!/6!] : [5!/1!]
= [10 . 9 . 8 . 7] : [5 . 4 . 3 . 2 . 1]
= 42
31. ₆C₃ = 6! /(6 - 3)! 3!
= 6! / (3! . 3!)
= (6 . 5 . 4 . 3!) / (3! . 3 . 2 . 1)
= 20
32. Banyak susunan kursi
= (5 - 1)!
= 4!
= 24
33. ₇P₃ = 7! /(7 - 3)!
= 7!/4!
= (7 . 6 . 5 . 4!) / 4!
= 210