43. 若 a=3!✕11!,b=4!✕10!,c=6!✕9!,則下列何者正確?
(A)a>b>c
(B)b>c>a
(C)b>a>c
(D)c>a>b
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統計: A(189), B(71), C(82), D(1233), E(0) #3104124
統計: A(189), B(71), C(82), D(1233), E(0) #3104124
詳解 (共 10 筆)
#5821362
a=3!✕11!= 3! ✕ 11✕10✕9! = 3!✕9! ✕11✕10 = 3!✕9! ✕110
b=4!✕10!= 4✕3! ✕ 10✕9! = 3!✕9! ✕4✕10 = 3!✕9! ✕40
c=6!✕9!= 6✕5✕4✕3! ✕9! = 3!✕9! ✕6✕5✕4 = 3!✕9! ✕120
c > a > b
b=4!✕10!= 4✕3! ✕ 10✕9! = 3!✕9! ✕4✕10 = 3!✕9! ✕40
c=6!✕9!= 6✕5✕4✕3! ✕9! = 3!✕9! ✕6✕5✕4 = 3!✕9! ✕120
c > a > b
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