There are 4 doctors and 8 lawyers in a panel. A team of 6 with at least one doctor is to be formed.
We count the number by the 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 of ways = 12C6 – 8C6
= 924 – 28