JEE Advance - Mathematics (1991 - No. 9)
Eighteen guests have to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on the other side. Determine the number of ways in which the sitting arrangements can be made.
${}^{11}{C_5} \times 9! \times 9!
${}^{11}{C_4} \times 9! \times 9!
${}^{11}{P_5} \times 9! \times 9!
${}^{11}{C_5} \times 11! \times 11!
${}^{11}{C_5} \times 5! \times 6!