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What is the number of selections of 10 consecutive things out of 12 things in a circle taken in the clockwise direction ?

This questions was previously asked in

Complete-Test, Previous year (2023)

- In a circular arrangement, 12 things are placed in a circle.

- If selecting 10 consecutive things, fix one starting point and count the next 9 in a clockwise direction.

- Since it's circular, any sequential 10 items determine their counterparts.

- The number of ways to pick 10 consecutive items equals the number of items: 12.

- Each distinct circular arrangement has a respective selection of 10 items.

- Opt:1 (3): Incorrect; doesn’t match problem conditions.

- Opt:2 (11): Incorrect; applies to linear logic.

- Opt:3 (12): Correct; matches count of distinct selections.

- Opt:4 (66): Incorrect; applies to combinations, not circular.