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Find the number of ways in which a selection of 4 letters can be made from the word
- a)130
- b)132
- c)134
- d)136
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Find the number of ways in which a selection of 4 letters can be made ...
Number of Selections from a Word
Given: A word with 4 different letters.
To find: The number of ways in which a selection of 4 letters can be made.
Solution:
We can solve this problem using the formula for combinations.
The number of ways of selecting r objects from n distinct objects is given by:
nCr = n! / (r! * (n-r)!)
Where n! means n factorial, which is the product of all positive integers up to n.
For this problem, n=4 (since there are 4 different letters in the word) and r=4 (since we want to select all 4 letters).
Using the formula:
4C4 = 4! / (4! * (4-4)!) = 4!/4! = 1
Therefore, there is only 1 way to select all 4 letters from the given word.
Answer: Option D (136) is incorrect.
Given: A word with 4 different letters.
To find: The number of ways in which a selection of 4 letters can be made.
Solution:
We can solve this problem using the formula for combinations.
The number of ways of selecting r objects from n distinct objects is given by:
nCr = n! / (r! * (n-r)!)
Where n! means n factorial, which is the product of all positive integers up to n.
For this problem, n=4 (since there are 4 different letters in the word) and r=4 (since we want to select all 4 letters).
Using the formula:
4C4 = 4! / (4! * (4-4)!) = 4!/4! = 1
Therefore, there is only 1 way to select all 4 letters from the given word.
Answer: Option D (136) is incorrect.
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Find the number of ways in which a selection of 4 letters can be made from the worda)130b)132c)134d)136Correct answer is option 'D'. Can you explain this answer?
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