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  • How many different five-letter permutations can you make from the letters A, B, C, D, E, and F?  Option: 1 720<div class

How many different five-letter permutations can you make from the letters A, B, C, D, E, and F?

 

Option: 1

720


Option: 2

240


Option: 3

300

 


Option: 4

350


Answers (1)

best_answer

Using the permutation formula, 

^nP_r=\frac{n!}{\left ( n-r \right )!}

Here, 

n = 6 and r = 5 

Thus, 

^6P_5=\frac{6!}{\left ( 6-5 \right )!}

^6P_5=720

Therefore, the five-letter permutations can be done in 720 ways.

Posted by

Divya Prakash Singh

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