from group of seven undergriuduate students(A,B,C,D,E,F and G) four will be selected to givea presentation to the student union.the following condition must be met :either Aor B must be selected ,but A and B cannot both selected. eithe Eor F must be selected , but E and F cannot both be selected E cannot selected unless C is selected. G cannot selected unless B is selected .if we know that F is not selected to present ,how many different group of four can be made
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YOU FOR SOS MISS OR WHATEVER BUT I DID NOT UNDERSTAND THAT QUESTION BECAUSE I SPEAK ENGLISH AND NOT SPANISH BUT I CAN HELP YOU IN ANYTHING SORRY
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Only one group of four with the members B, C, E, and G would be made.
Step-by-step explanation:
The conditions given are:
- Either A or B must be selected but A and B cannot both be selected
- Either E or F must be selected but E and F cannot both be selected
- E cannot be selected unless C is selected
- G cannot be selected unless B is selected
- F is not selected.
From the 2nd and 5th conditions, we can conclude that
- F is not selected, hence in all the combinations E is selected.
From 3rd condition, we can conclude that
- If E is selected, C will also be selected.
From 1st condition, we can conclude that
- Either A or B should be selected, so the third member would be A or B.
But, if A is selected, G cannot be selected (From condition 4)
- Hence, out of A and B, B would be selected.
Thus, only one combination with students B, C, E, and G is possible.
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