Please help me answer my assignment, the first picture is under Probability, (how many diiferent numbers...) and the next one is Permutations for two Kinds of Objects in a Set. (the cross section of an engineers ruler..) Show me the solution so I can understand.

EXERCISES 1. How many different numbers can be obtained by arranging the digits 22 333 44455, all together in all possible ways? 2. In how many ways can 13 different cards be arranged in a row, if 10 of them must always be in a specific order relative to each other? 3. A class consists of 12 girls and 10 boys. In how many ways can the class form a line, if the girls always remain together in ascending order of height and the boys likeweise? 4. In how many ways can 6 men and 4 women be seated in a row of 10 chairs, if the men are to sit side by side?EXERCISES 1. The cross section of an engineer's ruler is an equilateral triangle. Two such rulers, one red and the other green, have their faces numbered 1,2, and 3. The rulers are tossed onto the floor and the number on the bottom faces are recorded when they cone to rest. Set up a table for the sample space of outcomes. 2. A bag contains a number of marbles identical in every way except that some are red, some white and some blue. Two marbles are drawn, one after the other without replacement. What is the sample space for the experiment