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# Composition of Loops

TOPO-BJQYYD

What is the winding number (i.e. the corresponding element of the fundamental group $\pi_1(\mathbb R^2-\{(0,0)\})=\mathbb Z$) with respect to the origin of the composition of two loops, one of winding number $7$ with respect to the origin and one of winding number $-3$ with respect to the origin?

A

$1$

B

$2$

C

$3$

D

$4$

E

$5$