Question

A florist has in stock several dozens of each of the following roses, carnations, and lilies. How many different bouquets of half dozens flowers can be made. (arrangement is not important)?

• A. $\frac{8!}{2!6!}$
• B. $\frac{9!}{3!6!}$
• C. $\frac{12!}{6!6!}$
• D. $56$

Answer 1

Answer: (A)

$\frac{8!}{2!6!}$

$x_1+x_2+x_3=6$

$\therefore$No. of bouquets${=}^8{C}_2$

$=\frac{8!}{2!6!}$