 Intro to Combinations and Permutations
 Permutations with Repetition
 Permutations without Repetition
 Permutations Formula

License Plates  Android Lock Screen
 Tigers and Bears  Oh My

Combination without Repetition  Combination Formula
 Combining Combinations

The String of Beads  Anagrams
 Combinations with Repetition I
 Combinations with Repetition II
Tigers and Bears  Oh My
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The local circus is running a parade of 4 tigers and 7 bears and they need to arrange the animals in a single line. Each tiger is very territorial, and will get into a fight if placed next to another tiger. The zoo wants to know how many possible permutations they can arrange the animals in.
(Note that each each animal unique, so putting Saberoo the Tiger at the end is a different than putting Hobbes the Tiger there.)
Challenge
How many possible ways are there to arrange 7 Bears and 4 tigers in a line, so no tigers are next to each other?
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Comments
rodrigo perez
Sep 28, 6:16 PMTricky!  There are 8 different 'spots' to put/arrange a tiger along a line of 7 Bears> x B x B x B x B x B x B x B x
4 tigers for 8 possible spots.