A bag contains ten fruits. Among them, four are orange and six are apples. If four of them are drawn together, the probability that exactly three are apples and exactly two are apples is ___ and ____ respectively/.

Which of the following options satisfies the two blanks in the question?

A. 4/21, 1/84

B. 4/21, 3/84

C. 2/21, 1/42

D. 8/21, 3/7Option 4 : Only D

Number of ways of selecting exactly three apples is ^{6}C_{3}.

Number of ways of selecting exactly one orange is ^{4}C_{1}.

Probability of selecting exactly three apples is (^{6}C_{3}) (^{4}C_{1}) / ^{10}C_{4} = 8/21

Number of ways of selecting exactly two apples is ^{6}C_{2}.

Number of ways of selecting exactly two oranges is ^{4}C_{2}.