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CBSE Class 11-science Answered

How many different arrangements can be made by taking 5 of the letters of the word EQUATION ?
Asked by | 12 Sep, 2012, 03:03: PM
answered-by-expert Expert Answer

There are 8 different letters in the word equation.

 

To make a 5 letter word using the letters of the word EQUATION, the first position from (the left most position) can be filled up by using any of the 8 letters.

So, this position can be filled up by 8 ways.

 

The next position (right of left most position) can be filled up by 7 ways. The next three positions can be filled up by 6, 5 and 4 ways.

 

Therefore, the number of different arrangements those can be made by taking 5 of the letters of the word EQUATION = 8 × 7 × 6 × 5 × 4 = 6720.

Answered by | 12 Sep, 2012, 04:14: PM
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