How many ways can 4 different letters be selected from the word 'COMBINATION'?
Practice Questions
1 question
Q1
How many ways can 4 different letters be selected from the word 'COMBINATION'?
210
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The number of ways to choose 4 letters from 11 distinct letters is 11C4 = 330.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 4 different letters be selected from the word 'COMBINATION'?
Solution: The number of ways to choose 4 letters from 11 distinct letters is 11C4 = 330.
Steps: 7
Step 1: Identify the total number of distinct letters in the word 'COMBINATION'.
Step 2: Count the distinct letters: C, O, M, B, I, N, A, T. There are 8 distinct letters.
Step 3: We need to select 4 letters from these 8 distinct letters.
Step 4: Use the combination formula to find the number of ways to choose 4 letters from 8. The formula is nCr = n! / (r!(n-r)!), where n is the total number of items, and r is the number of items to choose.
Step 5: Plug in the values: n = 8 and r = 4. So, we calculate 8C4.
