Step-by-step explanation:
Ways to pick 2R marbles from among 8R marbles = 8!/(6!)(2!) = 28.
Ways to pick 2B marbles from among 7B marbles = 7!/(5!)(2!) = 21.
Ways to pick 3R marbles from among 8R marbles = 8!/(5!)(3!) = 56.
Ways to pick 1B marbles from among 7B marbles = 7!/(6!)(1!) = 7.
Ways to pick 4R marbles from among 8R marbles = 8!/(4!)(4!) = 70.
Ways to pick 0B marbles from among 7B marbles = 7!/(7!)(0!) = 1.
Ways as requested = (28*21)+(56*7)+(70*1) = 1,050