Of five letters (A,B,C,D,and E),two letters are to be selected at random.How many possible selections are there?
A)20
B)7
C)5!
D)10

Name: Of five letters (A,B,C,D,and E),two letters are to be selected at random.How many possible selections are there? A)20 B)7 C)5! D)10
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Question

Quizplus · Accepted Answer

The number of possible selections of 2 letters out of 5 can be found using the combination formula: 
nCk = n! / (k!(n-k)!)
So, in this case, the number of selections is 5C2 = 5! / (2!3!) = 10. Therefore, the best choice is D.

Of Five Letters (A,B,C,D,and E),two Letters Are to Be Selected