### 3 Columns 7 Cards Trick How It Works Powerpoint

```Card Tricks
and
Mathematics
3 Columns of 7 Cards
1
2
3
4
5
6
• Choose card
• Indicate Column
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
• Collect Cards
• Chosen Column in middle
• Redeal
1
2
2
1
3
4
5
5
4
6
• Choose card
• Indicate Column
7
8
8
7
9
10
11
10
11
12
13
14
14
13
15
16
17
17
16
18
19
20
20
19
21
• Collect Cards
• Chosen Column in middle
• Redeal
• Choose card
• Indicate Column
• Collect Cards
• Chosen Column in middle
• Redeal
• Choose card
• Indicate Column
• Collect Cards
• Chosen Column in middle
• Redeal
• Choose card
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
• Indicate Column
• Collect Cards
• Chosen Column in middle
• Redeal
1
4
2
5
3
6
Original Card
8
9
10
11
12
13
14
15
Position
{1,2, …, 21}
Input
16
17
18
19
20
21
Collect & Redeal
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
New Card
Collect & Redeal
Position
7
1
{8,9, …, 14}
(mathematical function)
Output
(range)
(domain)
Output = 7 + ??
Row 1: Input 1, 2, or 3
Output = 8
So ?? = 1
Row 2: Input 4, 5, or 6
Output = 9
So ?? = 2
1
2
3
1
2
3
4
5
6
4
5
6
7
8
9
7
8
9
10
11
12
10
11
12
13
14
15
13
14
15
16
17
18
16
17
18
19
20
21
19
20
21
Output = 7 + Row Number
1
2
3
1
2
3
1
2
3
4
5
6
4
5
6
4
5
6
4
5
6
7
8
9
7
8
9
7
8
9
7
8
9
10
11
12
10
11
12
10
11
12
10
11
12
13
14
15
13
14
15
13
14
15
13
14
15
16
17
18
16
17
18
16
17
18
16
17
18
19
20
21
19
20
21
19
20
21
19
20
21
{1, 2, …, 21}
Output = 7 + Row Number
3
Output = 7 + Row Number
2
Output = 7 + Row Number
1
Output
{8, 9, …14}
Output
{10, 11, 12}
Output
{11}
Input
Input
Final Position
Questions?
```