8.03 Probabilities with permutations
Interactive practice questions
Christa, James, Beth, Buzz and Eileen are to be placed in a line in random order.
What is the probability that they will be arranged from tallest to shortest?
What is the probability that they will be arranged from oldest to youngest?
What is the probability that they will be arranged in alphabetical order?
What is the probability that the boys will be next to each other and the girls will all be next to each other?
The letters of the word SPACE are to be rearranged.
$8$8 cards have different letters written on them. The letters are $A,R,I,O,S,C,G,U$A,R,I,O,S,C,G,U. The cards are shuffled and laid out on a table with the letters face up next to one another.
A random three-letter string is to be formed from the letters A, B, C, D, E and F without repetition.