Correct

不管 vs 不论 vs 无论

/ bùguǎn vs bùlùn vs wúlùn /
Strokes

Formula

1
不管(不论)(无论)…… 也
2
不管(不论)(无论)…… 都
3
无论如何
4
不管(不论)怎么样

Definition

不管, 不论, and 无论, all are Conjunction, which means [no matter; regardless of].

Example

不管, 不论, and 无论, the three words all indicate that the result remains unchanged under whatever condition they are used as conjunctions in conditional complex sentences.
1) 不管 is the most colloquial of the three. 无论 is more literary.

2) There must be an interrogative pronoun with a general reference or juxtaposed words or phrases in the sentence, with 也, 都, etc. to go with it.

3) The three words are interchangeable but with different flavors.

4) To see from the point of view of collocation, 无论如何 is an idiomatic phrase, and 不管怎么样 and 不论怎么样 are also common.
不管(不论)(无论)…… 也 不管(不论)(无论)…… 都 无论如何 不管(不论)怎么样
1
guǎn
不管
  
(
lùn
不论
  
)
  
(
lùn
无论
  
)
kùnnan
困难
duōme
多么
  
,
men
我们
yào
克服
  

No matter how difficult it is,we will overcome it. (with an interrogative pronoun with a general reference)

2
guǎn
不管
  
(
lùn
不论
  
)
  
(
lùn
无论
  
)
shì
shuí
  
,
dōu
de
píng
piào
chǎng
入场
  

No matter whoever you are,you will not be admitted without tickets. (with an interrogative pronoun with a general reference)

3
guǎn
不管
  
(
lùn
不论
  
)
  
(
lùn
无论
  
)
xià
xià
下雨
  
,
dōu
yīnggāi
应该
ànshí
按时
chū
出发
  

Whether it rains or not, we will start on time. (with juxtaposed phrases)

4
guǎn
不管
  
(
lùn
不论
  
)
  
(
lùn
无论
  
)
shì
gōngzuò
工作
háishi
还是
xué
学习
  
,
dōu
shí
fēn
努力
  

Whether it is to work or to learn,she is industrious. (with juxtaposed phrases)