Question
Mathematics Question on permutations and combinations
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
A
6C3 × 4P2
B
6C3 × 4C2
C
6P3 × 4C2
D
6P3 × 4P2
Answer
6P3 × 4P2
Explanation
Solution
The correct answer is (D) : 6P3 × 4P2.