Problem: a store has 10 bottles of juice , including 5 bottles of apple juice . in the evening , 6 bottles of juice are sold one by one . what is the probability of selling 3 bottles of apple juice among the 6 bottles ? assume that every bottle has an equal chance of being bought .
Rationale: "the total number of ways to sell 6 bottles from 10 is 10 c 6 = 210 . the number of ways to sell 3 bottles of apple juice is 5 c 3 * 5 c 3 = 10 * 10 = 100 p ( selling 3 bottles of apple juice ) = 100 / 210 = 10 / 21 the answer is d ."
annotated_formula: divide(choose(5, 3), choose(10, 5))