Question

The number of words (with or without meaning) that can be formed using any number of letters of the word ${}^{\prime }KANPU{R}^{\prime }$ is

• A. $360$
• B. $1048$
• C. $1254$
• D. $1956$

Answer 1

The correct option is D $1956$

If $r$ letters are used at a time, then the total words will be${}^6{P}_r.$
$\therefore$ Total words possible are
${}^6{P}_1+{}^6{P}_2+{}^6{P}_3+{}^6{P}_4+{}^6{P}_5+{}^6{P}_6$
$=6+30+120+360+720+720=1956$