Respuesta :
The number of combination of selecting three letters from the 7-letter word (DISPLAY) are 35.
What is arrangement?
Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is the n!.
Here, n is the number of objects.
The given letter in the problem is DISPLAY. There is total 7 letters in this word. Now here three words have to be selected.
Here, all the 7 letters are different, thus the combination of selecting three letters from the 7-letter word (DISPLAY) can be given as,
[tex]^7C_3=\dfrac{7\times6\times5}{3\times2\times1}\\[/tex]
[tex]^7C_3=35[/tex]
Thus the number of combination of selecting three letters from the 7-letter word (DISPLAY) are 35.
Learn more about the arrangement here;
https://brainly.com/question/6032811
