SOLUTION: In how many ways can you arrange the letters of the word 'think' so that the 't' and the 'h' are separated by at least one other letter? Use the indirect method.

Question 391588: In how many ways can you arrange the letters of the word 'think' so that the 't' and the 'h' are separated by at least one other letter? Use the indirect method.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let's make them one letter, the "th" letter. 4!=24
Let's make them one letter, the "ht" letter. 4!=24
24*2=48 ways they are not separated by a letter.
5!=120 possible arrangements of the word "think".
120-48=72 ways you can arrange "think" so the t and h are seperated by at least one letter.
.
Ed
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