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JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

A class has three teachers, Mr. P, Ms. Q and Mrs. R and six students A, B, C, D, E, F. Number of ways in which they can be seated in a line of chairs, if between any two teachers there are exactly two students is , then the value of is

Answer: 6

Solution

The teachers and the two students between each pair occupy consecutive chairs in the pattern , which can start at chair , or :

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Question ID VK-020721