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In this paper we study, pointed integer partition defined as a pair { } { } 1 2 , , , , , r u m u u u m =  where { } 1 2 , , , r u u u u =  is an integer partition of n m, and m is a non-negative integer ≤ n. Shellability of pointed integer partition with Möbius values -1 and +1 denoted by n R . We determine the cardinality of n I • and n R for 1 ≤ n ≤ 10 and n ≥ 1 respectively and compute the Möbius number of n I • for 1 ≤ n ≤ 6. We have shown hat n R admit an EL-labeling which is EL-shellable.

Shellability of Pointed Integer Partition