if 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue
marbles, in how many possible ways can at least 2 of the marbles picked are red?​


Sagot :

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