Directions: Read the following information and answer the question. Prof. Das wants to make his team for his next project. The conditions are as follows. (i) The team should have 5 students (ii) The…
Question and options
Directions: Read the following information and answer the question.
Prof. Das wants to make his team for his next project. The conditions are as follows.
(i) The team should have 5 students
(ii) The team must have two boys and 3 girls
(iii) Name of the boys is Amit, Bimal and Chandan
(iv) Name of girls is Deepika, Eshita, Fatima, Garima and Hena
(v) Bimal and Hena cannot go together
(vi) Fatima and Garima cannot be selected together
(vii) Eshita and Hena cannot go together
(viii) Amit will always be selected in the team
Prof. Das wants to make his team for his next project. The conditions are as follows.
(i) The team should have 5 students
(ii) The team must have two boys and 3 girls
(iii) Name of the boys is Amit, Bimal and Chandan
(iv) Name of girls is Deepika, Eshita, Fatima, Garima and Hena
(v) Bimal and Hena cannot go together
(vi) Fatima and Garima cannot be selected together
(vii) Eshita and Hena cannot go together
(viii) Amit will always be selected in the team
How many different teams can be formed?
- 6
- 21
- 24
- None of the given options is correct
Answer and explanation
Correct answer: A - 6
Amit is fixed. With Bimal, Hena is barred, so the girl sets are DEF and DEG (2 teams). With Chandan, all four sets DEF, DEG, DFH, DGH are allowed (4 teams). Total 2 + 4 = 6.
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CUSAT CAT Five-Year LL.B.
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