Question

Knowledge Objective: Counting You are playing Scrabble with a friend, and you always have 7 letter tiles in your letter rack. Assume that there are no blank tiles (ie. the wild card). Use this information and answer questions 4a to 4d Question 10 6 pts Question 4a: Assuming all 7 letters in your letter rack are unique (i.e. they are all different letters), how many 7-letter words" (i.e.. sequences of letters with or without meaning) can be formed?

Answer 1

4a)

There total 26 letters and we need make a all possible seven letter word:

So the number of 7 letter words= ⁿC_r =²⁶C₇ =26!/7!(26-7)!= 657800