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Quant版 - 来一道100 statements的题吧
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相关话题的讨论汇总
话题: statements话题: true话题: 100话题: says话题: most
进入Quant版参与讨论
1 (共1页)
l*****y
发帖数: 317
1
On a sheet of paper, you have 100 statements written down. the first says, "
at most 0 of these 100 statements are true." the second says, "at most 1 of
these 100 statements are true." ... the nth says, "at most (n-1) of these
100 statements are true. ... the 100th says, "at most 99 of these statements
are true." how many of the statements are true?
大家放松放松,给大脑做个深呼吸^_^
R*******s
发帖数: 136
2
50
y***n
发帖数: 153
3
1
y****e
发帖数: 28
4
I think 50 is the correct answer.
Let S_i be the i-th statement, we have
if S_i is correct, then S_{i+1} must be correct for all i
By going forwards from 1 to 50, we can infer none of the statements
S_1, ..., S_{50} can be true.
Since none of the first 50 statements are true, the remaining 50 statements
must be true.

【在 y***n 的大作中提到】
: 1
e******0
发帖数: 211
5
不错的答案
你是数学系的吗

statements

【在 y****e 的大作中提到】
: I think 50 is the correct answer.
: Let S_i be the i-th statement, we have
: if S_i is correct, then S_{i+1} must be correct for all i
: By going forwards from 1 to 50, we can infer none of the statements
: S_1, ..., S_{50} can be true.
: Since none of the first 50 statements are true, the remaining 50 statements
: must be true.

y****e
发帖数: 28
6
math for undergraduate and I've already switched my major for at least three
times at this stage and I still haven't decided I should switch to Quant.

【在 e******0 的大作中提到】
: 不错的答案
: 你是数学系的吗
:
: statements

e******0
发帖数: 211
7
年轻就干吧

three

【在 y****e 的大作中提到】
: math for undergraduate and I've already switched my major for at least three
: times at this stage and I still haven't decided I should switch to Quant.

y****e
发帖数: 28
8
I have worked for quite a few years and I am probably a little bit old.
Maybe not so, Derman started his Quant career when he was around 40.

【在 e******0 的大作中提到】
: 年轻就干吧
:
: three

e******0
发帖数: 211
9
follow your heart.

【在 y****e 的大作中提到】
: I have worked for quite a few years and I am probably a little bit old.
: Maybe not so, Derman started his Quant career when he was around 40.

o**o
发帖数: 3964
10
Why S_i=T => S_{i 1}=T ?
I think the statements can be paired,
First S_1=F and S_{100}=T, both by contradiction,
Then S_2=F and S_{99}=T, then so on.

【在 y****e 的大作中提到】
: I think 50 is the correct answer.
: Let S_i be the i-th statement, we have
: if S_i is correct, then S_{i+1} must be correct for all i
: By going forwards from 1 to 50, we can infer none of the statements
: S_1, ..., S_{50} can be true.
: Since none of the first 50 statements are true, the remaining 50 statements
: must be true.

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进入Quant版参与讨论
w******i
发帖数: 503
11
agree. 50.
l*****y
发帖数: 317
12
On a sheet of paper, you have 100 statements written down. the first says, "
at most 0 of these 100 statements are true." the second says, "at most 1 of
these 100 statements are true." ... the nth says, "at most (n-1) of these
100 statements are true. ... the 100th says, "at most 99 of these statements
are true." how many of the statements are true?
大家放松放松,给大脑做个深呼吸^_^
R*******s
发帖数: 136
13
50
y***n
发帖数: 153
14
1
y****e
发帖数: 28
15
I think 50 is the correct answer.
Let S_i be the i-th statement, we have
if S_i is correct, then S_{i+1} must be correct for all i
By going forwards from 1 to 50, we can infer none of the statements
S_1, ..., S_{50} can be true.
Since none of the first 50 statements are true, the remaining 50 statements
must be true.

【在 y***n 的大作中提到】
: 1
e******0
发帖数: 211
16
不错的答案
你是数学系的吗

statements

【在 y****e 的大作中提到】
: I think 50 is the correct answer.
: Let S_i be the i-th statement, we have
: if S_i is correct, then S_{i+1} must be correct for all i
: By going forwards from 1 to 50, we can infer none of the statements
: S_1, ..., S_{50} can be true.
: Since none of the first 50 statements are true, the remaining 50 statements
: must be true.

y****e
发帖数: 28
17
math for undergraduate and I've already switched my major for at least three
times at this stage and I still haven't decided I should switch to Quant.

【在 e******0 的大作中提到】
: 不错的答案
: 你是数学系的吗
:
: statements

e******0
发帖数: 211
18
年轻就干吧

three

【在 y****e 的大作中提到】
: math for undergraduate and I've already switched my major for at least three
: times at this stage and I still haven't decided I should switch to Quant.

y****e
发帖数: 28
19
I have worked for quite a few years and I am probably a little bit old.
Maybe not so, Derman started his Quant career when he was around 40.

【在 e******0 的大作中提到】
: 年轻就干吧
:
: three

e******0
发帖数: 211
20
follow your heart.

【在 y****e 的大作中提到】
: I have worked for quite a few years and I am probably a little bit old.
: Maybe not so, Derman started his Quant career when he was around 40.

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Hiring at Quant Finance怎样用knock-in, knock-out复制普通的call?
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进入Quant版参与讨论
o**o
发帖数: 3964
21
Why S_i=T => S_{i 1}=T ?
I think the statements can be paired,
First S_1=F and S_{100}=T, both by contradiction,
Then S_2=F and S_{99}=T, then so on.

【在 y****e 的大作中提到】
: I think 50 is the correct answer.
: Let S_i be the i-th statement, we have
: if S_i is correct, then S_{i+1} must be correct for all i
: By going forwards from 1 to 50, we can infer none of the statements
: S_1, ..., S_{50} can be true.
: Since none of the first 50 statements are true, the remaining 50 statements
: must be true.

w******i
发帖数: 503
22
agree. 50.
r****t
发帖数: 10904
23
这个和哪个系有啥关系,随便哪个系的都能做这题

【在 e******0 的大作中提到】
: 不错的答案
: 你是数学系的吗
:
: statements

L**********u
发帖数: 194
24
too oooooooooooooooooooooooooooold

"
of
statements

【在 l*****y 的大作中提到】
: On a sheet of paper, you have 100 statements written down. the first says, "
: at most 0 of these 100 statements are true." the second says, "at most 1 of
: these 100 statements are true." ... the nth says, "at most (n-1) of these
: 100 statements are true. ... the 100th says, "at most 99 of these statements
: are true." how many of the statements are true?
: 大家放松放松,给大脑做个深呼吸^_^

1 (共1页)
进入Quant版参与讨论
相关主题
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有没有人写个类似 my life as a quant 的帖子啊forward price of foreign currency
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请教PHD和MFE做quant的差别这个版不容许招人吗?版主为什么删我信息呢?
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相关话题的讨论汇总
话题: statements话题: true话题: 100话题: says话题: most