1.) In the coming state elections, Bharat Mata Party (BMP) will contest for 77 assembly seats. As BMP's majority vote bank is distributed amongst three communities viz. A, B and C, it will give election tickets only to those workers who belong to these communities. The workers of communities B and C are split into factions. Every faction of community B has 15 workers and that of community C has 25 workers. There were no factions among the workers belonging to community A. If BMP gives a ticket to a worker, it must give tickets to every other worker belonging to the same faction. BMP distinguishes between any two workers only on the basis of their communities. In how many ways can BMP distribute its election tickets giving at least one ticket to each community?

1 Answers  

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