Find the probability that a committee of 10 people chosen from an organization consisting of 40 doctors and 35 dentists will include 3 doctors and 7 dentist.

40c10 + 35c10 not sure what to do after setting it up. Need help

1 answer

it's a binomial expansion

(r + t)¹⁰ ... you want the 8th term

10C7 [(40/75)³ (35/75)⁷]