Find the total number of ways in which 4 persons can be seated in 6 seats.Choices:- 360 720 24
Question
Find the total number of ways in which 4 persons can be seated in 6 seats.Choices:- 360 720 24
Solution
This problem can be solved using the concept of permutations in combinatorics.
Step 1: Understand the problem We have 4 people and 6 seats. We need to find out in how many ways we can arrange these 4 people in 6 seats.
Step 2: Apply the formula of permutations The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to choose. Here, n is the number of seats (6) and r is the number of people (4).
Step 3: Calculate So, P(6, 4) = 6! / (6-4)! = 6543 / 21 = 360
So, the total number of ways in which 4 persons can be seated in 6 seats is 360.
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