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python .count for multidimensional arrays (list of lists)

How would I count the number of occurrences of some value in a multidimensional array made with nested lists? as in, when looking for 'foobar' in the following list:

list = [['foobar', 'a', 'b'], ['x', 'c'], ['y', 'd', 'e', 'foobar'], ['z', 'f']]

it should return 2.

(yes I am aware that I could write a loop that just searches through all of it, but I dislike that solution as it is rather time-consuming, (to write and during runtime))

.count maybe?

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>>> list = [['foobar', 'a', 'b'], ['x', 'c'], ['y', 'd', 'e', 'foobar'], ['z', 'f']]
>>> sum(x.count('foobar') for x in list)
2

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