# Mark the correct alternative in the following:The number of six letter words that can be formed using the letters of the word “ASSIST” in which S’s alternate with other letters isA. 12B. 24C. 18D. none of these

We have, 6 objects {A}, {S}, {S}, {I}, {S}, {T} and there are 3 S's.

The S’s can be arranged in following two ways to form a six letter word in which the S’s alternate with other letters, is as shown below:

S×S×S× and ×S×S×S where the ‘×’ are to be filled with the other letters.

Now, for the other 3 positions we have to place A, I and T, so, 3 positions can be filled with 3 letters in 3!

= 6 ways.

The number of six letter words that can be formed using the letters of the word “ASSIST” in which S’s alternate with other letters is

= 12.

The discussion can be shown pictorially as:

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