UKMT Grey Kangaroo, 2022

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

The numbers 1 to 8 are to be placed, one per circle, in the circles shown. The number next to each arrow shows what the product of the numbers in the circles on that straight line should be. What will be the sum of the numbers in the three circles at the bottom of the diagram?

(A) $11$ (B) $12$ (C) $15$ (D) $16$ (E) $17$

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