Question

The number of ways in which $6$ pictures can be hung from $8$ picture nails on the wall is

• A. $6^8$
• B. $20160$
• C. $8^6$
• D. None of these

Answer 1

The correct option is B $20160$

Number of nails $=8$

Number of Pictures $=6$

Number of ways it can be hung ${=}^8{P}_6$

$=8\times 7\times 6\times 5\times 4\times 3\times 2=5040\times 4=20160$

Therefore number of ways $=20160$