Correct

方法 vs 法子

/ fāngfǎ vs fǎzi /
Strokes

Definition

方法 and 法子, both are Noun, which means [method; way].

Example

方法 means "the way or method to solve a problem, the process, tactics, etc." 法子 mainly means "the way to go about business or lead one's life", and occasionally means ”a possibility".

1
Xué
学习
fāng
方法

method of study

2
xiǎng
思想
fāng
方法

method of thinking

3
Pēngtiáo
烹调
fāng
方法

method of cooking

方法 is more literary than 法子.
In the two examples following, 方法 means "the concrete process".
4
Xué
学习
zhè
mén
  
,
yīnggāi
应该
zhǎodào
找到
zhèngquè
正确
de
fāng
方法
  

You should find a right way to learn the course.

5
Zhèzhǒng
这种
huā
hěn
nán
zāipéi
栽培
  
,
méiyǒu
没有
yào
必要
de
zhīshi
知识
shì
适合
de
fāng
方法
shì
xíng
不行
de
  

The flower will be difficult to grow if you know little about it and have no right planting way about it.

法子 means "the ordinary way, possibility, etc".
6
gāi
zěnme
怎么
bàn
  
?
Qǐng
bāng
xiǎngxiǎng
想想
法子
  

How can I do? Please give me some advice.

7
Lín
邻居
zhuāngxiū
装修
fángzi
房子
  
,
几乎
méi
没法子
shuìjiào
睡觉
  

He can hardly go to sleep for his neighbor is having their house fitted up.

8
Shī
失业
le
  
,
zhèngzài
正在
xiǎng
想法子
zhǎo
gōngzuò
工作
  

He was unemployed and he managed to look for a job.

9
Zhè
háizi
孩子
ài
shàng
上课
  
,
lǎoshī
老师
méi
法子
  

The child hates school, and his teachers do not know how to do with him.

Sometimes, when meaning "both the ordinary way and the actual process", either 法子 or 方法 can be used (usually with the attributive 好(good), etc.).
10
Zài
nóng
农业
shàng
  
,
yòng
chóng
益虫
shāmiè
杀灭
hàichóng
害虫
  
,
shì
zhǒng
hǎo
zi
法子
  
(
fāng
方法
  
)
  

It is a good way using beneficial insects to kill off pests in agriculture.

11
cóng
lín
邻居
li
那里
xué
lái
le
zhǒng
qīngjié
清洁
shuǐzhì
水质
de
hǎo
zi
法子
  
(
fāng
方法
  
)
  

She learnt a good way of cleaning the water from her neighbor.

12
Xué
学习
wài
外语
  
,
chúle
除了
duō
tīng
  
duō
shuō
  
duō
dòu
  
,
méiyǒu
没有
shénme
什么
hǎo
zi
法子
  
(
fāng
方法
  
)
  

There is no good way in foreign language learning except practising listening, speaking and reading much more.