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The legislature of Puerto Rico consists of a 27-member Senate and a 51-member House of Representatives. How many ways are there to choose a group of

  1. The legislature of Puerto Rico consists of a 27-member Senate and a 51-member House of Representatives. How many ways are there to choose a group of seven members from the Puerto Rican legislature?
  2. How many solutions (using only nonnegative integers) are there to the following equation? x1 + x2 + x3 + x4 + x5 =
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