Q1Short answer
Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one chair each. First the women choose the chairs from amongst the chairs 1 to 4 and then men select from the remaining chairs. Find the total number of possible arrangements. [Hint: 2 women occupy the chair, from 1 to 4 in 4P2 ways and 3 men occupy the remaining chairs in 6P3 ways.]