Class 11MathematicsPermutation and CombinationDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
MediumEight 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
- A${ }^6 C_3 \times { }^4 C_2$
- B${ }^4 P_2 \times { }^6 P_3$
- C${ }^4 C_2 + { }^4 P_3$
- D${ }^4 P_2 + { }^6 P_3$
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