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# How many 3 digit numbers can you make from the digits 0,1,2,3,4,5,6 if the 3 digits must greater than 500 and repetition is not allowed?

0
323
1
+52

please include all steps

ultmage11234  Jan 30, 2015

### Best Answer

#1
+26544
+10

They must start with either the 5 or the 6.

Consider those that start with a 5.

There are 6 digits left that could go in the "tens" position.

For each of these there are 5 digits left that could go in the "units" position.

Hence there are 6*5 = 30 possible 3-digit numbers beginning with 5.

Similar reasoning shows that there are also 30 possible 3-digit numbers beginning with 6.

So there are 60 possibilities in all.

.

Alan  Jan 30, 2015
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### 1+0 Answers

#1
+26544
+10
Best Answer

They must start with either the 5 or the 6.

Consider those that start with a 5.

There are 6 digits left that could go in the "tens" position.

For each of these there are 5 digits left that could go in the "units" position.

Hence there are 6*5 = 30 possible 3-digit numbers beginning with 5.

Similar reasoning shows that there are also 30 possible 3-digit numbers beginning with 6.

So there are 60 possibilities in all.

.

Alan  Jan 30, 2015

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