题目内容
The symbol(符号) 5!is called five factorial(阶乘)and means 5×4×3×2×1;Thus(因而)5!=120.How many 6!=?What is the result of| (n-1)! |
| n! |
| (n-1)! |
| n! |
分析:先能得出题目的意思,n!=1×2×3×…×n,代入n=6即可得出答案,再根据n!转化出(n-1)!,约分即可.
解答:解:由题意得,n!=1×2×3×…×n,
∴n=6时,6!=1×2××4×5×6=720,
=
=
,
故答案为720;
.
∴n=6时,6!=1×2××4×5×6=720,
| (n-1)! |
| n! |
| (n-1)! |
| (n-1)!•n |
| 1 |
| n |
故答案为720;
| 1 |
| n |
点评:本题是一道新定义的题目,考查了有理数的混合运算,注意阶乘的求法是解题的关键.
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