Question

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

• A. 240
• B. 120
• C. 360
• D. 480

Answer 1

The correct option is A 240

$\times$

$\times$

$\times$

$\times$

$\times$

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 ${=}^5{C}_2\times 4!=240$