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

Answer 1

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