Calculate the value of each expression 10!/6! b. 8!/3! 2. Some students took an optional training class before taking their driver's license test. The probability that a student took the optional training dass and passed the driving tost is - The probability that a student passed the driving test is if. The probebility that a student took the optional training dass is g a. What is the probability that a student took the optional training cass, given that they passed the driving test? b. Are the events "passed the driving test" and "took the optional training dass" independent or dependent events? Explain your reasoning. 3. There are 10 players on a golf team. Use combinations to calculate how many different 4-person teams the coach can create. 4. Suppose you form 5-letter strings from the letters C, O, M, P, U, T, I, N, and G. a. Write the number of permutations as a ratio of factorials. b. Calculate the number of permutations of 5-letter strings8