If 8 different integers are chosen at random from the first 15 positive integers, what is the probability that an additional number chosen at random from the remaining 7 positive integers is smaller than every one of the 8 originally chosen positive integers?

A.
\(\frac{1}{9}\)
B.
\(\frac{1}{8}\)
C.
\(\frac{1}{15}\)
D.
\(\frac{1}{7}\)
Mathematics
Competition
Math League
Exam No:2018 First Round Grades 10-12 Year:2018 Question No:9

Answer:

A

Knowledge points:

G10-12 - Combinatorics - Pigeonhole Principle

Solution:

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