4 years ago

How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters

1 answer:

6 0

So basically you just want to say:

5 choices, with five choices stemming from that, with five more choices stemming from that.

(Drawing a tree would show that well)

Or,

5 * 5 * 5

Which is,

25 * 5

Or 125.

So 125 three letter words can be made from the letter FGHIJ

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Two supplementary angles are in the ratio 3 1 : 5 find both angles

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<h3>Solution:</h3>

Given that two supplementary angles are in ratio 31 : 5

Let the first angle be 31a

Let the second angle be 5a

Two Angles are Supplementary when they add up to 180 degrees.

Therefore,

first angle + second angle = 180 degrees

$31a + 5a = 180\\\\36a = 180\\\\a = \frac{180}{36}\\\\a = 5$

Therefore the angles are:

first angle = 31a = 31(5) = 155 degrees

second angle = 5a = 5(5) = 25 degrees

Thus the two angles are 155 degrees and 25 degrees

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