Farm auction distribution

Probability Level 3

At a farm auction, various pieces of farm equipment and livestock are bid on and sold.

Today, there are 7 distinct items up for auction, and there are 3 farmers bidding on them. One of the farmers declares that he will be bid on at least 2 of the items (not specifying which ones), and he won't be outbid.

If this farmer is telling the truth, then how many ways can the items be distributed among farmers?

Assume that all items are sold.


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