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How many spades?

Playing STD. Amer. 2/1 with Lebensohl over weak 2’s the auction goes:

W N E S

2-p-p-X

p-3*-3-p

p-3-all pass

*Lebensohl,  constructive and natural roughly 8-11.

In the partnership style the balancing doubler may have only 3 spades

a reasonable fraction of the time.   The question is, does the 3C call absolutely denies 4S (hence showing only 3S with his 3S bid, or might he have a 4S+ 5 or 6 club hand?  Please vote below and comments are of course welcome)

3c absolutely denies 4S so 3S shows 3S
3C might have any 5C and 4 weak spades
3C might have strong 5 clubs and 4 weak spades
3C must have 6+ clubs and 4 spades
Other (please comment)

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