Question

How many ten-letter arrangements can be formed from the word STATISTIC if the T's , must be together ?

Answer 1

Hint: the T's must be together, so think of the three T's as one letter (call it Z = TTT)

Answer 2

still get the wrong answer

Answer 3

keep in mind that there are 2 S's

Answer 4

So something like SST is the same as SST (sounds trivial i know, but flipping the S letters doesn't change it)

Answer 5

oh and two I's as well

Answer 6

no there is 3 s's

Answer 7

i count 2

Answer 8

statistics

Answer 9

oh it's plural

Answer 10

sorry*

Answer 11

the original word is singular

Answer 12

no worries

Answer 13

so

STATISTICS

becomes

SAISICSZ

after you remove the T's and add on a Z (let Z = TTT)

You have 8 letters, I repeats twice and S repeats three times

Answer 14

so compute

(8!)/(2!*3!)

Answer 15

again thank you! you are a life saver

Answer 16

np, basically 8! lists out the ways to arrange SAISICSZ

the division of 2! and 3! deals with the repeats (and basically tosses them out)