What is the probability that a roll of 5 distinct dice yields a sum of 17)? Round to 4 significant figures.
How many necklaces can be formed by joining together 12 green beads and 3 red beads?
Note: All beads have to be used. Rotations and reflections are considered identical.
How many 6-digit numbers can be formed using exactly 4 different digits?
Seven identical eggs are being put into a egg box. However no more than two eggs can be put in a row. For example, one possible arrangement is E-E----EE-E--EE.
How many possible arrangements are there for the eggs?
Note: The egg box always stays in the same orientation so reflections count.
How many subsets of contain no pair of consecutive integers?
Details and assumptions
The empty set is a subset of every set.