Anna has 10 marbles: 5 red, 2 blue, 2 green and 1 yellow. she wants to arrange all of them in a row so that no two adjacent marbles are of the same color and the first and the last marbles are of different colours. how many different arrangements are possible?
a) 30
b) 60
c) 120
d) 240
e) 480

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Ответ:

smortandsons

19.11.2022

Mathematics

Set original amount = x

After a 75% increase, it would become

x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x

After a 50% decrease, it would become

1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = $\frac{7}{8} x$

Because $\frac{7}{8} x$ is less than x, the new amount would be less than the original.

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Anna has 10 marbles: 5 red, 2 blue, 2 green and 1 yellow. she wants to arrange all of them in a row so that no two adjacent marbles are of the same color and the first and the last marbles are of different colours. how many different arrangements are possible? a) 30 b) 60 c) 120 d) 240 e) 480