Question

$3$ persons have $4$ coats, $5$ waist coats and $6$ hats. The number of ways in which they put on the clothes are:

• A. $ {{4}^{3}}\times {{5}^{3}}\times {{6}^{3}} $
• B. $ 4\times 5\times 6 $
• C. $ 4\,!\,5\,!\,6\,!\, $
• D. none of these

Answer 1

Answer: (A)

Total, number of coats $=4$, waist coats $=5=5$ and hats $=6$
The total number of ways, in which one person put the clothes $=4 \times 5 \times 6$
The total number of ways, that all three persons put the clothes $=4^{3} \times 5^{3} \times 6^{3}$