Answer: The correct option is (d) 240240.
Step-by-step explanation: Given that a pool of possible jurors consists of 14 men and 10 women.
We are to find the number of different possible juries consisting of 5 men and 7 women.
Since, we need different possible juries, so we will be using combination to solve the given problem.
The number of different juries possible are given by
[tex]n\\\\=^{14}C_5\times ^{10}C_7\\\\\\=\dfrac{14!}{5!(14-5)!}\times \dfrac{10!}{7!(10-7)!}\\\\\\=\dfrac{14\times13\times12\times11\times10\times9!}{5\times4\times3\times2\times1\times9!}\times\dfrac{10\times9\times8\times7!}{7!\times3\times2\times1}\\\\\\=2002\times120\\\\=240240.[/tex]
Thus, the required number of different juries is 240240.
Option (d) is CORRECT.
