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python - Pandas get_dummies on multiple columns

I have a dataset with multiple columns that I wish to one hot encode. However, I don't want to have the encoding for each one of them since said columns are related to the said items. What I want is one "set" of dummies variables that uses all the columns. See my code for a better explanation.

Suppose my dataframe looks like this:

In [103]: dum = pd.DataFrame({'ch1': ['A', 'C', 'A'], 'ch2': ['B', 'G', 'F'], 'ch3': ['C', 'D', 'E']})

In [104]: dum
Out[104]:
 ch1 ch2 ch3
0   A   B   C
1   C   G   D
2   A   F   E

If I execute

pd.get_dummies(dum)

The output will be

   ch1_A  ch1_C  ch2_B  ch2_F  ch2_G  ch3_C  ch3_D  ch3_E
 0      1      0      1      0      0      1      0      0
 1      0      1      0      0      1      0      1      0
 2      1      0      0      1      0      0      0      1

However, what I would like to obtain is something like this:

 A B C D E F G
 1 1 1 0 0 0 0
 0 0 1 1 0 0 1
 1 0 0 0 1 1 0

Instead of having multiple columns representing the encoding, e.g. ch1_A and ch1_C, I only wish to have one group (A, B, and so on) with value 1 when any of the values in the columns ch1, ch2, ch3 show up.

To clarify, in my original dataset, a single row won't contain the same value (A,B,C...) more than once; it will just appear on one of the columns.

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Using stack and str.get_dummies

dum.stack().str.get_dummies().sum(level=0)
Out[938]: 
   A  B  C  D  E  F  G
0  1  1  1  0  0  0  0
1  0  0  1  1  0  0  1
2  1  0  0  0  1  1  0

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