How many 5-digit numbers can be formed from the integers 1, 2, ... , 9 if no digit can appear more than twice?

1 answer:

6 0

5 digit number with no repeats
1st digit has 9 possibilities
2nd digit has 8 possibilities
3rd digit has 7 possibilities
4th digit has 6 possibilities
5th fight has 5 possibilities
Therefore the answer is:
9 x 8 x 7 x 6 x 5 = 72 x 210 = 15,120

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Answer:

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Step-by-step explanation:

Given as :

The distance that man travel to north = OA = 5 miles

Now, From north ,man turn right and travel to east

So, The distance that man travel to east = AB = 12 miles

Let The distance between house to work = x miles

So, x miles is the displacement from north to east direction

i.e x = $\sqrt{OA^{2} + AB^{2} }$

Or, x = $\sqrt{5^{2} + 14^{2} }$

Or, x = $\sqrt{169 }$

∴ x = 13

So, The distance between house to work = x = 13 miles

Hence, The distance between house to work is 13 miles . Answer

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2 years ago

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and are also equivalent