Question

In a watch shop there are 14 types of wall clocks. Each type has four pieces. The number of ways in which they can be arranged in a row is:

• A. $\frac{56!}{14!}$
• B. $\frac{56!}{(14!{)}^4}$
• C. $\frac{56!}{(4!){}^1{}^4}$
• D. $\frac{56!}{(13!){}^3}$

Answer 1

Answer: (C)

$\frac{56!}{(4!){}^1{}^4}$

Total wall clocks$=4\times 14=56$
No. of permutations = $\frac{56!}{4!4!4!4!.......4!\left(14times\right)}$
Ans = $\frac{56!}{(4!{)}^{14}}$