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How to solve with Pigeonhole Principle

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#discrete-mathematics #permutations #combinations #recreational-mathematics
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Inverse bin ball problem

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#probability #combinatorics #probability-theory #probability-distributions #combinations
3.2k
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Notation for combinations and permutations?

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#combinatorics #notation #permutations #combinations #factorial
84
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Short notation of combination of numbers

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#notation #combinations
236
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Find the average value of $i_1i_2+i_2i_3+........+i_9i_{10}+i_{10}i_1$

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#permutations #combinations #average
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How do I find all the combinations of 4 numbers that will give me this specific total?

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#combinatorics #combinations
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$8$ children of $4$ boys and $4$ girls are needed to form $2$ circles of $4$ children each. Find the number of different ways that this can be done.

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#combinatorics #permutations #combinations
327
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In how many ways can $4$ different packages be distributed among $8$ people such that everyone gets $2$ packages or none?

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#combinatorics #discrete-mathematics #combinations
64
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Combinatorial Proof For Counting Equivalance

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#combinatorics #discrete-mathematics #combinations
84
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Can permutations be solved by cases?

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#combinatorics #discrete-mathematics #permutations #combinations
141
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How many composite functions from $(f \circ f)(1) = 2$

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#combinatorics #discrete-mathematics #combinations #function-and-relation-composition
1.9k
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I have 3 pieces of candy to place in 4 lunch boxes. In how many ways can I do this if...

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#combinatorics #combinations
340
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Random knapsack algorithm: Select n positive integers that sum up to S

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#combinatorics #probability-theory #proof-verification #algorithms #combinations
49
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What is the number of ways of expressing 4 as the sum of 5 nonnegative integers?

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#combinatorics #combinations
200
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Is counting how many composition functions are there same as counting other functions?

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#combinatorics #functions #discrete-mathematics #combinations

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