Answer
The number of ways one can order a car available in nine colors and three styles = $9_{{C}{_{1}}}$ . $3_{{C}{_{1}}}$ = 27
Work Step by Step
The number of ways one can order a car available in nine colors and three styles = $9_{{C}{_{1}}}$ . $3_{{C}{_{1}}}$ = $\frac{9!}{(9 - 1)! 1!}\times\frac{3!}{(3 - 1)! 1!}$
= $\frac{9!}{8! 1!}\times\frac{3!}{2! 1!}$
= $\frac{9\times8!}{8! .1!}\times\frac{3\times!}{2! .1!}$
= $9\times3$ = 27
