## Combinatorics |

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### Contents

Samples Permutations and Combinations | 18 |

Combinatorial Problems with Restrictions | 43 |

Distributions and Partitions | 64 |

Copyright | |

6 other sections not shown

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### Common terms and phrases

4-digit numbers arithmetical triangle binomial expansion black checker cards chessboard choose coefficient column combinations compute the number consider consists denote the number diagonal digit sum divisible dollar bills dominos equal equation example expansion Find the number formula geometric progression graph half-dollar coins Hence the number hostile neighbors inclusion and exclusion knights letters lines n-sequences natural numbers number of admissible number of arrangements number of different number of partitions number of permutations number of points number of samples number of seating number of solutions number of triangles obtain the answer ordered partitions pairs of hostile particles placed player points of intersection position power series principle of inclusion prove queue recurrence relation remaining repetitions of elements required number result rooks route rth class rule of product rule of sum seating arrangements sequence Show solve square subfactorials summands total number triples values vertices white balls zeros