The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. In how many ways, 5 persons are to be selected from the group of people such that there are 2 men and 3 women? Statement I: There are 20 men and 14 women in the group Statement II: Among the men, there are 5 engineers, 9doctors and 6 lawyers Statement III: Among the women, there are 7 engineers, 4 doctors and 3 lawyers

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. In how many ways, 5 persons are to be selected from the group of people such that there are 2 men and 3 women? Statement I: There are 20 men and 14 women in the group Statement II: Among the men, there are 5 engineers, 9doctors and 6 lawyers Statement III: Among the women, there are 7 engineers, 4 doctors and 3 lawyers Correct Answer Only I

Statement I:

Total men = 20 and Total women = 14

2 men can be selected from the group of 20 men = 20c2

3 women can be selected from the group of 14 women = 14c3

Total ways = 20c2 × 14c3

Statement II and III does not find any proper relationship with the question as the man of particular occupation is not necessarily be chosen

∴ Only statement I is sufficient to answer the question.

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