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There are 8 doctors and 4 lawyers in a panel. Find the number of ways for selecting a team of 6 if at least one doctor must be in the team. - Mathematics and Statistics

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प्रश्न

There are 8 doctors and 4 lawyers in a panel. Find the number of ways for selecting a team of 6 if at least one doctor must be in the team.

योग
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उत्तर

There are 8 doctors and 4 lawyers.
We need to select a team of 6 which contains at least one doctor.
Since there are only 4 lawyers any team of 6 will contain at least two doctors.
Required number = `""^12"C"_6` = 924

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अध्याय 6: Permutations and Combinations - Miscellaneous Exercise 6 [पृष्ठ ९३]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 19 | पृष्ठ ९३

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