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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Answer the following: There are 4 doctors and 8 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

Answer the following:

There are 4 doctors and 8 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

बेरीज

उत्तर

We count the number by INDIRECT method of counting.

Number of ways to select a team of 6 people = 12C6

Number of teams with No doctor in any team = 8C6

Required number = 12C68C6

= 924 – 28

= 896

shaalaa.com
Properties of Combinations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Permutations and Combination - Miscellaneous Exercise 3.2 [पृष्ठ ६८]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 3 Permutations and Combination
Miscellaneous Exercise 3.2 | Q II. (16) | पृष्ठ ६८

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