A hint to get started
Arrange distinct people using blocks and gender patterns
In how many ways can 3 men and 3 women be arranged in a row so that (i) the women are always together, (ii) the men and women occupy alternate places, (iii) the two particular women are always separated by two men?
CJC · Lecture · Example 16
Decide whether order matters and repetition is allowed; then count stages or disjoint cases.