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Large Schr o der paths, sparse noncrossing partitions, partial horizontal strips, and $132$-avoiding alternating sign matrices are objects enumerated by Schr o der numbers. In this paper we give formula for the number of Schr o der objects with given type and number of connected components. The proofs are bijective using Chung-Feller style. A bijective proof for the number of Schr o der objects with given type is provided. We also give a combinatorial interpretation for the number of small Schr o der paths.

Chung-Feller Property of Schröder Objects