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The number of ways in which 4 persons can occupy 9 vacant seats?
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The number of ways in which 4 persons can occupy 9 vacant seats?
Solution:
Calculation of the number of ways in which 4 persons can occupy 9 vacant seats can be done by using the permutation formula.
Permutation Formula:
nPr = n!/(n-r)!
Where,
n = number of objects to choose from
r = number of objects to be chosen
! = factorial
Steps to solve the problem:
Step 1: Identify the values of 'n' and 'r'
n = 9 (number of vacant seats)
r = 4 (number of persons to occupy the seats)
Step 2: Calculate nPr
nPr = 9P4
= 9!/(9-4)!
= 9!/5!
= (9x8x7x6)/4x3x2x1
= 126
Therefore, there are 126 ways in which 4 persons can occupy 9 vacant seats.
Calculation of the number of ways in which 4 persons can occupy 9 vacant seats can be done by using the permutation formula.
Permutation Formula:
nPr = n!/(n-r)!
Where,
n = number of objects to choose from
r = number of objects to be chosen
! = factorial
Steps to solve the problem:
Step 1: Identify the values of 'n' and 'r'
n = 9 (number of vacant seats)
r = 4 (number of persons to occupy the seats)
Step 2: Calculate nPr
nPr = 9P4
= 9!/(9-4)!
= 9!/5!
= (9x8x7x6)/4x3x2x1
= 126
Therefore, there are 126 ways in which 4 persons can occupy 9 vacant seats.
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The number of ways in which 4 persons can occupy 9 vacant seats? 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 The number of ways in which 4 persons can occupy 9 vacant seats? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of ways in which 4 persons can occupy 9 vacant seats?.
The number of ways in which 4 persons can occupy 9 vacant seats? 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 The number of ways in which 4 persons can occupy 9 vacant seats? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of ways in which 4 persons can occupy 9 vacant seats?.
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