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Group Question
Answer the following question based on the information given below.
In a certain process industry involving complex set of operations, the occurrence of a particular event triggered by happening of other event was as observed.
1. A, B, F or C may lead to G.
2. B, F or C may cause E.
3. C or H may lead to occurrence of I.
4. G or E may lead to J, only if G and E were triggered by F.
5. Only E occurring along with I may cause K or D.
6. G or E may lead to L or M, only if G and E are caused by B or F.
7 . 1 may lead to occurrence of M, only if I is caused by C or H.
 
Q. A, B, C, D, E, F, G, H, I, J, K, L and M are the events.
X — {x / Event ‘x’ can lead to at least one o f G, B, I}. Find the number o f members in set X.
    Correct answer is '5'. Can you explain this answer?
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    Group QuestionAnswer the following question based on the information g...
    G: Can be caused by any of A, B, F or C; the number of preceding events would be four.
    I: Can be caused by H, i.e. only one event.
    So, X = {A, B, C, F, H}
    Answer: 5
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    Most Upvoted Answer
    Group QuestionAnswer the following question based on the information g...
    Number of Members in Set X: 5

    Explanation:

    Given information:
    1. A, B, F or C may lead to G.
    2. B, F or C may cause E.
    3. C or H may lead to occurrence of I.
    4. G or E may lead to J, only if G and E were triggered by F.
    5. Only E occurring along with I may cause K or D.
    6. G or E may lead to L or M, only if G and E are caused by B or F.
    7. 1 may lead to occurrence of M, only if I is caused by C or H.

    To find the number of events in set X, we need to identify the events that can lead to at least one of G, B, or I.

    Events that can lead to G:
    - A
    - B
    - F
    - C

    Events that can lead to B:
    - A
    - F

    Events that can lead to I:
    - C
    - H

    From the given information, we can see that events A, B, F, and C can lead to at least one of G, B, or I. Therefore, the number of events in set X is 4.

    However, we need to consider the additional conditions mentioned in the given information:

    Condition 4 states that G or E can lead to J only if G and E were triggered by F. This means that if G or E is triggered by any event other than F, it cannot lead to J. Therefore, G and E can only be triggered by F. This implies that event F is a necessary condition for G and E to occur.

    Condition 6 states that G or E can lead to L or M only if G and E are caused by B or F. This means that if G or E is caused by any event other than B or F, it cannot lead to L or M. Therefore, B and F are necessary conditions for G and E to lead to L or M.

    Considering these additional conditions, we can conclude that the events in set X are A, B, C, F, and G. Therefore, the number of members in set X is 5.
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