Question

A meeting takes place between a diplomat

and fourteen government officials.
However, four of the officials are actually
spies. If the diplomat gives secret
information to ten of the attendees at
random, what is the probability that no
secret information was given to the spies?

Answer 1

The number of ways to choose 10 people out of 14 people is given by 14C10 which is read "14 choose 10"

Only 1 of these combinations will result in no information being given to any of the 4 spies.

Can you figure out the probability from these 2 facts?

Explanation: