How many simple closed curves are there?

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Solution

The correct option is D 5
$A s i m p l e c l o s e d c u r v e e n c l o s e s a s i n g l e a r e a a n d d o n o t h a v e i n t e r s e c t i n g l i n e s . H e r e i n e a c h o f t h e f i g u r e s 1, 2, 5, 6, 7 a s i n g l e a r e a i s e n c l o s e d . B u t i n e a c h o f t h e f i g u r e s 3, 4, 8 m o r e t h a n o n e a r e a a r e e n c l o s e d . S o e a c h o f t h e f i g u r e s 1, 2, 5, 6, 7 i s a s i m p l e c u r v e . A n s - 1, 2, 5, 6, 7$

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