Find the number of ways you can arrange (a) all of the letters and (b) two of the letters in the word TRY.a. The number of ways you can arrange all of the letters in the word is .b. The number of ways you can arrange two of the letters in the word is
Question
Find the number of ways you can arrange (a) all of the letters and (b) two of the letters in the word TRY.a. The number of ways you can arrange all of the letters in the word is .b. The number of ways you can arrange two of the letters in the word is
Solution
a. The word "TRY" has 3 distinct letters. The number of ways to arrange all of them is given by the formula for permutations of n distinct items, which is n!. So, for "TRY", the number of arrangements is 3! = 321 = 6.
b. If we are only arranging two of the letters from "TRY", we first have 3 choices for the first letter, and then 2 choices for the second letter (since we can't repeat a letter). So, the number of arrangements is 3*2 = 6.
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