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QUESTION

Permutations

Find the number of different arrangement of the set of the six letters j,o,y,f,u,l :

A. Taken two at a time

B. Taken three at a time

C. Take six at a time

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ANSWER

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*** formula of the ************ ** written ****

n!

(n − r)!

***** * is *** ****** ** ****** ** ****** from *** ** ****** r ** **** *** ********** ***** matters)

* ***** two ** * *****

** * *** *** ********* ** ******* (6! *****

* ************** **********

= 30 *************

* ***** three ** a *****

** * *** *** therefore it becomes (6! *****

* **********************

= *** *************

* **** *** ** a time

** 6 and *** ********* ** ******* *** *****

= ******************

* *** ************

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