Answer:
2/7
Step-by-step explanation:
Probability=number of names chosen/total number of names
p=2/7
Here in this question order is mentioned so we will use permutation.
and the formula is P(n,r) = [tex]\frac{n!}{(n-r)!}[/tex]
When the order of selecting something doesn't matter we use combination and when order of selection matters we use permutation.
In the given question number of unique names (n) = 7 and we are taking 2 names at a time.So the permutation of 7 names takes 2 at a time is P(7,2) =
[tex]\frac{7!}{(7-2)!}[/tex] = [tex]\frac{7!}{5!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{5*4*3*2*1}[/tex] = 7x6 = 56.
So, the number of ways of selecting is 56.
Learn more about Permutations and Combinations here :
https://brainly.com/question/13387529
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