The number of ways in which all the letters of the word HUSSEY be arranged so that two S are never together is

240

120

360

480

Correct Answer: Option(a)

Solution:

$×$

$×$

$×$

$×$

$×$

There are four letter other than S so arrange them in $4!$ ways. There are 5 spaces for S to be placed in $_{5}C_{2}$ ways. Hence number of ways is $=_{5}C_{2}×4!=240$