You have a deck of 100 cards, numbered 1, 2, 3, ..., 100.
You shuffle the deck and then turn up 5 cards.
What is the probability that the cards are turned up in increasing order?
In fact, it doesn't matter how many cards are in the deck.
There are 5! possible permutations for the order in which the
five cards are turned up, and only one of these has the cards
in increasing order.
The probability is thus 1/120.