Maharashtra State BoardHSC Science (General) 11th
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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

Sum

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

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Solution

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

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 3 Permutations and Combination
Miscellaneous Exercise 3 | Q II. (16) | Page 68
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