MHT CET20225 Aug 2022Morning ShiftMathematicsPermutation and CombinationActual
It is required to seat 5 men and 4 women in a row so that the men occupy odd places. Then the number of arrangements that are possible is
Options
- A144
- B362880
- C2880
- D1140
Correct answer
C. 2880
Step-by-step solution
M 1 W 2 M 3 W 4 M 5 W 6 M 7 W 8 M 9 5 men can be seated in 5 odd places in 5_ P ₅ =120 ways and 4 women can be seated in remaining 4 places in 4_ p₄ =24 ways Total possible arrangements =120 24=2880