Mixing
Find the natural number which is divisibled by another number
$begingroup$
Let $n= overline{a_1a_2a_3}$ ($a_1 neq a_2$, $a_2 neq a_3$, $a_3 neq a_1$).
1/ How many possible values does $n$ have which is divisibled by $7$?
2/ How many possible values does $n$ have which is divisibled by $3$ or $4$?
3/ How many possible values does $n$ have which is divisibled by $3$ but not divisibled by $4$?
4/ How many possible values does $n$ have which is divisibled by $3$ and $4$?
divisibility natural-numbers
asked Jan 7 at 23:05
Cao Thành TháiCao Thành Thái
503
$endgroup$
add a comment |
$begingroup$
Let $n= overline{a_1a_2a_3}$ ($a_1 neq a_2$, $a_2 neq a_3$, $a_3 neq a_1$).
1/ How many possible values does $n$ have which is divisibled by $7$?
2/ How many possible values does $n$ have which is divisibled by $3$ or $4$?
3/ How many possible values does $n$ have which is divisibled by $3$ but not divisibled by $4$?
4/ How many possible values does $n$ have which is divisibled by $3$ and $4$?
divisibility natural-numbers
asked Jan 7 at 23:05
Cao Thành TháiCao Thành Thái
503
$endgroup$
$begingroup$
Please explain your notation. Does the bar imply finite repetitions? Also please provide what you've tried to solve this.
$endgroup$
– Alex R.
Jan 7 at 23:06
$begingroup$
@AlexR. Genearlly, the bar represents a three digit number i.e. $overline{a_1a_2a_3}=100a_1+10a_2+a_3$ where all $a_i$ are distinct.
$endgroup$
– user574848
Jan 8 at 2:11
$begingroup$
Yes, that right
$endgroup$
– Cao Thành Thái
Jan 9 at 12:27
add a comment |
$begingroup$
Let $n= overline{a_1a_2a_3}$ ($a_1 neq a_2$, $a_2 neq a_3$, $a_3 neq a_1$).
1/ How many possible values does $n$ have which is divisibled by $7$?
2/ How many possible values does $n$ have which is divisibled by $3$ or $4$?
3/ How many possible values does $n$ have which is divisibled by $3$ but not divisibled by $4$?
4/ How many possible values does $n$ have which is divisibled by $3$ and $4$?
divisibility natural-numbers
asked Jan 7 at 23:05
Cao Thành TháiCao Thành Thái
503
$endgroup$
Let $n= overline{a_1a_2a_3}$ ($a_1 neq a_2$, $a_2 neq a_3$, $a_3 neq a_1$).
1/ How many possible values does $n$ have which is divisibled by $7$?
2/ How many possible values does $n$ have which is divisibled by $3$ or $4$?
3/ How many possible values does $n$ have which is divisibled by $3$ but not divisibled by $4$?
4/ How many possible values does $n$ have which is divisibled by $3$ and $4$?
divisibility natural-numbers
divisibility natural-numbers
asked Jan 7 at 23:05
Cao Thành TháiCao Thành Thái
503
asked Jan 7 at 23:05
Cao Thành TháiCao Thành Thái
503
asked Jan 7 at 23:05
Cao Thành TháiCao Thành Thái
503
asked Jan 7 at 23:05
Cao Thành TháiCao Thành Thái
503
asked Jan 7 at 23:05
Cao Thành TháiCao Thành Thái
503
503
$begingroup$
Please explain your notation. Does the bar imply finite repetitions? Also please provide what you've tried to solve this.
$endgroup$
– Alex R.
Jan 7 at 23:06
$begingroup$
@AlexR. Genearlly, the bar represents a three digit number i.e. $overline{a_1a_2a_3}=100a_1+10a_2+a_3$ where all $a_i$ are distinct.
$endgroup$
– user574848
Jan 8 at 2:11
$begingroup$
Yes, that right
$endgroup$
– Cao Thành Thái
Jan 9 at 12:27
add a comment |
$begingroup$
Please explain your notation. Does the bar imply finite repetitions? Also please provide what you've tried to solve this.
$endgroup$
– Alex R.
Jan 7 at 23:06
$begingroup$
@AlexR. Genearlly, the bar represents a three digit number i.e. $overline{a_1a_2a_3}=100a_1+10a_2+a_3$ where all $a_i$ are distinct.
$endgroup$
– user574848
Jan 8 at 2:11
$begingroup$
Yes, that right
$endgroup$
– Cao Thành Thái
Jan 9 at 12:27
$begingroup$
Please explain your notation. Does the bar imply finite repetitions? Also please provide what you've tried to solve this.
$endgroup$
– Alex R.
Jan 7 at 23:06
$begingroup$
Please explain your notation. Does the bar imply finite repetitions? Also please provide what you've tried to solve this.
$endgroup$
– Alex R.
Jan 7 at 23:06
$begingroup$
@AlexR. Genearlly, the bar represents a three digit number i.e. $overline{a_1a_2a_3}=100a_1+10a_2+a_3$ where all $a_i$ are distinct.
$endgroup$
– user574848
Jan 8 at 2:11
$begingroup$
@AlexR. Genearlly, the bar represents a three digit number i.e. $overline{a_1a_2a_3}=100a_1+10a_2+a_3$ where all $a_i$ are distinct.
$endgroup$
– user574848
Jan 8 at 2:11
$begingroup$
Yes, that right
$endgroup$
– Cao Thành Thái
Jan 9 at 12:27
$begingroup$
Yes, that right
$endgroup$
– Cao Thành Thái
Jan 9 at 12:27
add a comment |
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$begingroup$
Please explain your notation. Does the bar imply finite repetitions? Also please provide what you've tried to solve this.
$endgroup$
– Alex R.
Jan 7 at 23:06
$begingroup$
@AlexR. Genearlly, the bar represents a three digit number i.e. $overline{a_1a_2a_3}=100a_1+10a_2+a_3$ where all $a_i$ are distinct.
$endgroup$
– user574848
Jan 8 at 2:11
$begingroup$
Yes, that right
$endgroup$
– Cao Thành Thái
Jan 9 at 12:27