is among - problem

[Thomas J McGrath III]

Class project:

A group of three items from the list 1,2,3,4,5,6,7 with no duplicates 
in any order = 123 but no 213 or 312 or 231 or 321 and no doubles or 
triples = 111 or 112 or 323 or 322 etc. (WOW my daughter is only 13 and 
this in my opinion is complex until I figured it out)

What follows is my final answer to this.

I put the fourth number in a line to show how many of the second item 
there were and that there is a pattern to it
5,4,3,2,1 and 4,3,2,1 and 3,2,1 and 2,1 and 1 which I thought was 
pretty cool but I don't know why.
The other pattern is in the third item place: 3,4,5,6,7 and 4,5,6,7 and 
5,6,7 and 6,7 and 7 and 4,5,6,7 and 5,6,7 etc.



123

124

125

126

127 5

134

135

136

137 4

145

146

147 3

156

157 2

167 1

234

235

236

237 4

245

246

247 3

256

257 2

267 1

345

346

347 3

356

357 2

367 1

456

457 2

467 1

567 1