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Effectus [21]
3 years ago
15

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.
aIn how many ways can the two awards be given if:

1. if the same student can receive both awards?
2.if the same student cannot receive both awards?
Mathematics
1 answer:
yaroslaw [1]3 years ago
3 0

Answer: 1)100ways and 2)90ways


Step-by-step explanation:

Given :-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.

Ways can the two awards be given if the same student can receive both awards (i.e repetition is allowed)

=10×10=100ways

Ways can the two awards be given if the same student cannot receive both awards(i.e. repetition is not allowed)

=10×9=90ways

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Check the picture below.

now, you can pretty much count the units off the grid for the segments ST and RU, so each is 7 units long, and are parallel, meaning that the other two segments are also parallel, and therefore the same length each.

so we can just find the length for hmmmm say SR, since SR = TU, TU is the same length,

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
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S(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad 
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SR=\sqrt{(-3)^2+4^2}\implies SR=\sqrt{25}\implies SR=5

sum all segments up, and that's perimeter.

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3 years ago
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