Question

a committee of four persons to be appointed from three officers of the production department for officers of the purchase department to officer of the sales department and one chartered accountant find the charge that it should have at least one from the purchase department​

Answer 1

Step-by-step explanation:

There are in all 3+4+2+1=10 people. A committee of 4 can be formed out of these 10 people in 10 C 4 ways. Hence the exhaustive number of cases is: 10 C 4 = 10*9*8*7=210 4! i. The number of favorable cases for committee to consist of one member from each category (Production, Purchase, Sales & Chartered Accountant) is: 3 C 1 * 4 C 1 * 2 C 1 * 1 C 1 = 3*4*2*1 = 24 Required probability = 24/210 =4/35 = 0.1143 ii. The probability ‘p’ that the committee of 4 has at least one member from the purchase department is given by: P = P[1 from purchase dept & 3others] + P[2 from purchase dept & 2others] + P[3from purchase dept.