If n>4, what is the value of the integer n?
(1)~$\frac{n!}{(n-3)!}$~=~$\frac{3!n!}{4!(n-4)!}$~
(2)~$\frac{n!}{3!(n-3)!}$~+~$\frac{n!}{4!(n-4)!}$~=~$\frac{(n+1)!}{4!(n-3)!}$~
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
第二个通分到左右两边消不掉的时候就盲选了,感觉第二个不好算
有容易的算法吗,(2)?
n! n!
(n-3) = 4
n-3=4 n=7
n! n! (n+1)! 4n! n!(n-3) (n+1)! 4n!+n!(n-3)=(n+1)! n!(n-3+4)=(n+1)! n!(n+1)=n!(n+1) n能是任何数,无意义
3! + 4!(n-3) = 4! 4! + 4! = 4!
选A
排版不行,看不懂也没办法。
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上下先分別解開, 就可以通分化簡了
这题纯考计算,逼了狗了。。。第2个算出来一个n的二次议程,有解,但是两个解都
计算需时约4分30秒,浪费时间,猜一个把
(2)算半天算不出来,浪费时间