Question

In how many different ways can you arrange the letters of the word COMPUTER taking 4 at a time?

Answer 1

Number of different ways`=1680`

Explanation:

Let `n=8` and `r=4`
Use permutation formula `nPr=(n!)/(n-r)!`

`8P4=(8!)/((8-4)!)=(8*7*6*5*4!)/(4!)=(8*7*6*5*cancel4!)/(cancel4!)`

`8P4=(8*7*6*5)`

`8P4=1680`

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