How many ways can 3 letters be chosen from the word 'COMBINATION'?
Practice Questions
1 question
Q1
How many ways can 3 letters be chosen from the word 'COMBINATION'?
120
60
30
10
The number of ways to choose 3 letters from 11 distinct letters is 11C3 = 165.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 3 letters be chosen from the word 'COMBINATION'?
Solution: The number of ways to choose 3 letters from 11 distinct letters is 11C3 = 165.
Steps: 8
Step 1: Identify the total number of distinct letters in the word 'COMBINATION'.
Step 2: Count the letters: C, O, M, B, I, N, A, T. There are 8 distinct letters.
Step 3: Understand that we want to choose 3 letters from these 8 distinct letters.
Step 4: Use the combination formula, which is written as nCr, where n is the total number of items to choose from and r is the number of items to choose.
Step 5: In this case, n = 8 (the distinct letters) and r = 3 (the letters we want to choose).
Step 6: Calculate the combination using the formula: 8C3 = 8! / (3! * (8-3)!).
