Recent research in privacy-preserving data mining (PPDM) has become increasingly popular due to the wide application of data mining and the increased concern regarding the protection of private and personal information. Lately, numerous methods of privacy-preserving data mining have been proposed. Most of these methods are based on an assumption that semi-honest is and collusion is not present. In other words, every party follows such protocol properly with the exception that it keeps a record of all its intermediate computations without sharing the record with others. In this paper, we focus our attention on the problem of collusions, in which some parties may collude and share their record to deduce the private information of other parties. In particular, we consider a general problem in PPDM - multiparty secure computation of some functions of secure summations of data spreading around multiple parties. To solve such a problem, we propose a new method that entails a high level of s...