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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
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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.

This problem has been solved

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