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Question
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 = 12C6 – 8C6
= 924 – 28
= 896
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