A committee of 4 people is to be appointed from 4 officers of the production department ,3 officers of the purchase department ,3 officers of the sales department and two chartered accountants.how many ways this committee can be formed :1)by selecting one person from each category . 2)by selecting two from production department and one person from each purchase and sales department?


 1  . NO OF WAYS OF SELECTING ONE PERSON FROM EACH CATEGORY = 4C *  3C3C12C
                                                                                                      =  4*3*3*2
                                                                                                     = 72 WAYS
 

2. NO.OF WAYS = 4C23C13C
                             = 6*3*3
                             = 54 WAYS
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A committee of four people is to be appointed from three officers of the production department for offices of the purchase department to offices of the sales department and one of Chartered account find the probability of forming the committee in the following manner first there will be one from each category II the committee should be have at least one from the purchase department third the departed chartered accountant must be in committee
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A committee of 4 people is to be appointed from 3 officers of the production department, 4officers 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.

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