query: What is the smallest number of elements necessary to generate S(5)?
positive_passages.docid: 149294
positive_passages.text: How do i prove how $S_5$ is generated by a two cycle and a five cycle?
negative_passages.docid: 102136
negative_passages.text: How many subsets contain no consecutive elements?
negative_passages.docid: 141647
negative_passages.text: Finding the index value of the smallest number in a list?
negative_passages.docid: 51649
negative_passages.text: prove there is no smallest positive rational number
negative_passages.docid: 136918
negative_passages.text: How to determine the smallest numbers with $n$ factors
negative_passages.docid: 55840
negative_passages.text: Number of functions from n-element set to {1, 2, …, m}
negative_passages.docid: 83115
negative_passages.text: A set of elements in a reduced unity ring
negative_passages.docid: 157456
negative_passages.text: All odd primes except $5$ divide a number made up of all $1$s
negative_passages.docid: 102721
negative_passages.text: Number of elements in the ring $\mathbb Z [i]/\langle 2+2i\rangle$
negative_passages.docid: 79380
negative_passages.text: How to find the order of a group generated by two elements?
negative_passages.docid: 123710
negative_passages.text: Find eight elements in $S_6$ that commute with $(12)(34)(56)$
negative_passages.docid: 148343
negative_passages.text: The sum of the elements in a field of at least three elements is 0
negative_passages.docid: 132298
negative_passages.text: How do you find the smallest of homeomorphic ordinals?
negative_passages.docid: 86902
negative_passages.text: Consider the smallest number in each of the $n\choose r$ subsets (of size $r$) of $S=\{1,2,\ldots,n\}$...
negative_passages.docid: 81505
negative_passages.text: Derangement of $n$ elements
negative_passages.docid: 136848
negative_passages.text: Find the number of nonzero elements
negative_passages.docid: 43849
negative_passages.text: Calculating number of elements commmuting with $\sigma\in S_{10}$