How many paths spell STATISTICS? Show all your work.
| S | ||||||
| T | T | |||||
| A | A | A | ||||
| T | T | T | T | |||
| I | I | I | ||||
| S | S | |||||
| T | ||||||
| I | I | |||||
| C | C | C | ||||
| S | S |
Inactive Tutor answered • 07/30/20
Arshiyan
Assuming you start at the top and finish at the bottom :
First letter you can choose in 1 way
2nd in two
3rd in three
4th in four
5th in three
6th in two
7th in one
8th in two
9th in three
10th in two
So 1.2.3.4.3.2.1.2.3.2 ways = 1728 paths
If you can start anywhere and finish on any S there are many more paths.
Mike
Get a free answer to a quick problem.
Most questions answered within 4 hours.
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Answers · 10
Answers · 8
Answers · 9
Answers · 6
Answers · 18
Nicholas P.
5 (326)
Whitney T.
5 (503)
Stephenson G.
5 (478)
Scot H.
Hey MIke you are wrong..... so many ways... the answer is 120. Use Pascal's triangle. When you get to the last T you are at 20. Start a new triangle with the "I"s being 20. Last row "C" middle is 40. So the "S"s are 40+20=60 each. 120 total paths.07/07/21