A committee of 4 people is to be appointed from 3 officers of the production department, 4
officers of the purchase department, 2 officers of the sales department and 1 chartered
accountant. Find the probability of forming the committee in the following manner.
(i) There must be one from each category.
(ii) It should have at least one from the purchase department.
(iii) The charted accountant must be in the committees.
Answers
Step-by-step explanation:
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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 4i.
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.
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Answer:
==========================================
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 4i.
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.
==========================================
Hope my answer helps...
Please mark it as the brainliest.==========================================
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 4i.
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.
==========================================
Hope my answer helps...
Please mark it as the brainliest.
Step-by-step explanation: