From Benni Trachtenberg, it’s time to dust off your football manager’s blazer just in time for the women’s World Cup: A soccer coach is assembling a team of 11 players to compete in the Riddler League. (For the sake of this problem, all players are invincible and will play the entirety of every game of …
Let S be the set of all 10-digit numbers (which by definition may not begin with 0) in which each digit 0 through 9 appears exactly once. For example, the number 3820956714 is in S. A number n is picked from S at random. What is the probability that n is divisible by 11? If …