Combos, Permutations, Sequences, Pigeonhole Principle
Permutations, no repetition
permutation formula, ORDER MATTERS (i.e. ways to sort 5 of 10 students in a line)
very easy, just use product rule as shown
Combinations, no repetition
combination formula, ORDER does NOT matter (i.e committee of 3 out of 5 students)
Bars and stars! Order does not matter, ways to select bills/fruit and place in a container
binomial theorem... coefficient is a Combination.
binomial coefficients, a recursive definition
event over sample space. event is a subset of sample space
Compliment of probability event
technique to calculate some probabilities
Probability of union of 2 events
useful for proving things
probability of E given F E|F
Definition of independent event
if k is a positive integer and k+1 or more objects are placed into boxes, at least 1 box has 2+ objects
Bernoulli trials probability of success
calculate probability of i.e diseases/diagnosis, probability of spam...
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