The letters in the word TRIANGLE are arranged in all possible values and these arrangements are listed in the alphabetical order the word INTEGRAL appears in the list in which position number?
+118667 The letters in the word TRIANGLE are arranged in all possible values and these arrangements are listed in the alphabetical order the word INTEGRAL appears in the list in which position number?
There are 8 different letters in triangle so there are 8! ways of sorting them.
8! = 40320 Mmm that is a lot :)
TRIANGLE
in alphabet order these letters are
| T | R | I | A | N | G | L | E |
| A | E | G | I | L | N | R | T |
| I | A | E | G | L | N | R | T |
| I | N | A | E | G | L | R | T |
| I | N | T | A | E | G | L | R |
| I | N | T | E | A | G | L | R |
| I | N | T | E | G | A | L | R |
| I | N | T | E | G | R | A | L |
Any combination starting with A,E of G will come earlier
that is 3*7! combiations.
3*7! = 15120
Now I will look at the combinations beginning with I
If the second letter is A,E,G or L then that 'word' combination will come first. There are 4 of these letters.
4*6! = 2880
So now we have the first 2 letters IN.....
How many combinations do not have T as the next letter.
5*5! = 600
So now we have the first 3 letters INT
The next letter cannot be A that is
4! = 24
The next letter cannot be A that is
3! = 6
Thr third last one cannot be A or L
2*2! = 4
That is it I think
15120+2880+600+24+6+4 = 18634
So there are 18634 combinations before
So I guess that makes Integral the
18 635'th out of 40 320 possible combinations
That is assuming that i have not made a silly mistake :)
Triangle to Integral
