Ten chairs are numbered as 1 to 10 . Three women and two men wish to occupy one chair each. First the women choose the chairs marked 1 to 6 , then the men choose the chairs from the remaining. The number of possible ways is

Step-by-step solution

We have, 3 women and 2 men and first women choose the chairs marked 1 to 6 . Total number of chair =6 So, the number of arrangement = ^6 P₃ Now, 2 men choose from the remaining 4 chairs. So, the number of arrangement = ^4 p₂ ways Total number of arrangements = ^6 p₃ ^4 p₂