MHT CET202416 May 2024Morning ShiftMathematicsPermutation and CombinationActual
Eight chairs are numbered 1 to 8 . Two women and three men wish to occupy one chair each. First the women choose chairs from amongst the chairs marked 1 to 4 , and then the men select the chairs from amongst the remaining. The number of possible arrangements is
Options
- A^6 C ₃ ^4 C ₂
- B^4 P ₂ ^6 P ₃
- C^4 C ₂+ ^4 P ₃
- D^4 P ₂+ ^6 P ₃
Correct answer
B. ^4 P ₂ ^6 P ₃
Step-by-step solution
Two women can be made to sit on chairs marked 1 to 4 in ^4 P₂ ways and then three men can be seated in 6 available seats in ^6 P ₃ ways. number of possible arrangements is ^4 P ₂ ^6 P ₃ .