Lemma
MediumPermutations & combinations
AQuA-RAT train #49492 · Combinatorics · Permutations & combinations

1,2,3,4,5,6,7 are arranged such that sum of two successive numbers is a…

1,2,3,4,5,6,7 are arranged such that sum of two successive numbers is a prime number. For example, 1234765 (i.e. 1+2=3, 2+3=5, 3+4=7....) 1. How many such possible combinations occur? 2. How many possible combination occurs if first number is 1/7 and last number is 7/1 (i.e 1xxxxx7 or 7xxxxx1)? 3. How many numbers will come on 4th position(xxx_xxx)?

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AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #49492

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