How many ways can 4 different letters be chosen from the word 'COMPUTE'? (2022)
Practice Questions
1 question
Q1
How many ways can 4 different letters be chosen from the word 'COMPUTE'? (2022)
35
70
56
84
The number of ways is 8C4 = 70.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 4 different letters be chosen from the word 'COMPUTE'? (2022)
Solution: The number of ways is 8C4 = 70.
Steps: 7
Step 1: Identify the total number of different letters in the word 'COMPUTE'. There are 8 letters: C, O, M, P, U, T, E.
Step 2: Determine how many letters you want to choose. In this case, we want to choose 4 letters.
Step 3: Use the combination formula to find the number of ways to choose 4 letters from 8 letters. 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 4: Plug in the values into the formula: 8C4 = 8! / (4! * (8 - 4)!) = 8! / (4! * 4!).
