The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.
a In how many ways can the two awards be given if:
i the same student can receive both awards?
ii the same student cannot receive both awards?
b Assuming that a student cannot receive both
awards, find the probability that a particular student
receives:
i the Distinction award
ii the Merit award
ili neither award.
C Assuming that a student can receive both awards, find the probability that they receive at least one award.

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step-by-step explanation:

a

step-by-step explanation:

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.