How many ways can you order the letters of CANADA if it begins with exactly 2 A’s? (2 marks)
Question
How many ways can you order the letters of CANADA if it begins with exactly 2 A’s? (2 marks)
Solution
Step 1: Identify the number of letters in the word "CANADA". There are 6 letters in total.
Step 2: Identify the number of each type of letter. There are 3 A's, 1 C, 1 N, and 1 D.
Step 3: Since the word must begin with exactly 2 A's, we are left with 4 positions to fill with the remaining 4 letters (1 A, 1 C, 1 N, 1 D).
Step 4: Calculate the number of ways to arrange these 4 letters. Since there are no repeating letters, we can use the formula for permutations of distinct objects, which is n!, where n is the number of objects. So, there are 4! = 432*1 = 24 ways to arrange these 4 letters.
So, there are 24 ways to order the letters of CANADA if it begins with exactly 2 A’s.
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