CA Foundation Exam > CA Foundation Questions > If 5Pr = 60, then the value of r isa)3b)2c)4d...
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If 5Pr = 60, then the value of r is
- a)3
- b)2
- c)4
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If 5Pr = 60, then the value of r isa)3b)2c)4d)none of theseCorrect ans...
5Pr=60
⇒5!/(5−r)! = 60
⇒120/(5−r)! = 60
⇒(5−r)! = 2
since 2! = 2
hence, 5−r = 2 or r = 3
Most Upvoted Answer
If 5Pr = 60, then the value of r isa)3b)2c)4d)none of theseCorrect ans...
Given 5Pr = 60
To find the value of r
Step 1: Write down the formula for permutations
nP r = n!/(n-r)!
where nP r denotes the number of permutations of r objects chosen from n distinct objects.
Step 2: Substitute the given values in the formula
5P r = 60
=> 5!/(5-r)! = 60
Step 3: Simplify the equation
=> 120/(5-r)! = 60
=> (5-r)! = 2
Step 4: Find the value of (5-r)!
(5-r)! = 2
=> (5-r)! = (5-2)!
=> (5-r)! = 3!
=> (5-r)! = 6
Step 5: Solve for r
(5-r)! = 6
=> (5-r) = 3
=> r = 2
Therefore, the value of r is 2, which is option A.
To find the value of r
Step 1: Write down the formula for permutations
nP r = n!/(n-r)!
where nP r denotes the number of permutations of r objects chosen from n distinct objects.
Step 2: Substitute the given values in the formula
5P r = 60
=> 5!/(5-r)! = 60
Step 3: Simplify the equation
=> 120/(5-r)! = 60
=> (5-r)! = 2
Step 4: Find the value of (5-r)!
(5-r)! = 2
=> (5-r)! = (5-2)!
=> (5-r)! = 3!
=> (5-r)! = 6
Step 5: Solve for r
(5-r)! = 6
=> (5-r) = 3
=> r = 2
Therefore, the value of r is 2, which is option A.
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If 5Pr = 60, then the value of r isa)3b)2c)4d)none of theseCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If 5Pr = 60, then the value of r isa)3b)2c)4d)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5Pr = 60, then the value of r isa)3b)2c)4d)none of theseCorrect answer is option 'A'. Can you explain this answer?.
If 5Pr = 60, then the value of r isa)3b)2c)4d)none of theseCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If 5Pr = 60, then the value of r isa)3b)2c)4d)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5Pr = 60, then the value of r isa)3b)2c)4d)none of theseCorrect answer is option 'A'. Can you explain this answer?.
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