Assignment:
A set of 10 flags, 5 red, 3 blue and 2 yellow are to be arranged in a line along a balcony. If flags of the same colour are INDISTINGUISHABLE, find the number of arrangements in which,
1) The three blue flags are together
2) The yellow flags are not together
3) The red flags occupy alternate positions in the line
4) If there is room for only 9 of the flags, find the total number of possible arrangements.
Provide complete and step by step solution for the question and show calculations and use formulas.