5. There are 12 students, and you are a coach. You want to divide the students into three specific groups, i.e.,G1, G2, and G3, so that each group contains four students. Please decide how many ways you can divide them. Please justify your answer.

4.(15%) Given a bag having 4 white balls and 3 red balls, let us proceed a drawing run that a drawingtakes a ball from the bag, record its color, put it back, and do such drawing for 5 times. Assume thatthe probability of each distinct red ball being drawn is two times of that of a distinct white ball being drawn. Calculate the probability to draw exactly 3 white balls and 2 red balls in the run.

5. There are 12 students, and you are a coach. You want to divide the students into three specific groups, i.e.,G1, G2, and G3, so that each group contains four students. Please decide how many ways you can divide them. Please justify your answer.

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