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python - Nested List and count()

I want to get the number of times x appears in the nested list.

if the list is:

list = [1, 2, 1, 1, 4]
list.count(1)
>>3

This is OK. But if the list is:

list = [[1, 2, 3],[1, 1, 1]]

How can I get the number of times 1 appears? In this case, 4.

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>>> L = [[1, 2, 3], [1, 1, 1]]
>>> sum(x.count(1) for x in L)
4

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