How many ways can 3 different letters be chosen from the word 'COMBINATION'?
Practice Questions
1 question
Q1
How many ways can 3 different letters be chosen from the word 'COMBINATION'?
120
220
60
80
The number of ways is C(11, 3) = 165.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 3 different letters be chosen from the word 'COMBINATION'?
Solution: The number of ways is C(11, 3) = 165.
Steps: 9
Step 1: Identify the total number of letters in the word 'COMBINATION'. There are 11 letters.
Step 2: Determine that we want to choose 3 different letters from these 11 letters.
Step 3: Use the combination formula C(n, r) = n! / (r! * (n - r)!), where n is the total number of items (11 letters) and r is the number of items to choose (3 letters).
