query: How many different mutually noncongruent trapeziums can be constructed using 4 distinct side lengths from the set {1, 3, 4, 5, 6}?
positive_passages.docid: 153654
positive_passages.text: How many non congruent trapeziums are possible with the side lengths from {1,3,4,5,6}
negative_passages.docid: 58508
negative_passages.text: Number of ways to pair off $2n$ points such that no chords intersect
negative_passages.docid: 151326
negative_passages.text: Concurrency of the heights of a tetrahedron with opposite edges perpendicular.
negative_passages.docid: 154841
negative_passages.text: Computing symmetry/combinatorial factor for a diagram in $\phi^4$ theory
negative_passages.docid: 80744
negative_passages.text: What is the number of strings at size $n$ that is constructed from ${a,b,c,d}$ and there is an even num of $a$
negative_passages.docid: 62175
negative_passages.text: A general formula for $n$ distinguishable arrangements of length $\ell$ of a sequence of a given size?
negative_passages.docid: 127185
negative_passages.text: How to test whether a set of four points can form a parallelogram
negative_passages.docid: 88356
negative_passages.text: Number of options to distribute $N$ different balls to $K$ numbered cells
negative_passages.docid: 57236
negative_passages.text: How many different combinations of a six sided die rolls equals n
negative_passages.docid: 24146
negative_passages.text: Number of ways to partition a rectangle into n sub-rectangles
negative_passages.docid: 9971
negative_passages.text: enumerative combinatorics,In how many ways (as a function of n) can one choose a composition α α of n
negative_passages.docid: 155372
negative_passages.text: Find the number of permutations in $S_n$ containing fixed elements in one cycle
negative_passages.docid: 7234
negative_passages.text: Generate $n$ randomly oriented non-intersecting cylinders with fixed radius and length
negative_passages.docid: 105886
negative_passages.text: A question on the proof of 14 distinct sets can be formed by complementation and closure
negative_passages.docid: 9411
negative_passages.text: Number of permutations of $n$ elements where no number $i$ is in position $i$
negative_passages.docid: 93459
negative_passages.text: Number of permutations of unspecified length
negative_passages.docid: 96086
negative_passages.text: Double Factorial: Number of possibilities to partition a set of $2n$ items into $n$ pairs