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MCQ

There are 40 students in a class. A student is allowed to shake hands only once with a student who is taller than him or equal in height to him. He cannot shake hands with somebody who is shorter than him. The average height of the class is 5 feet. What is the difference between the maximum and the minimum number of handshakes that can happen in such a class?

#### Options

`(("^40C_2)/2-20)`

361

`"^40C_2-40`

`"^40C_2`

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#### Solution

**`"^40C_2`Explanation:**If all are of equal height, the number of handshakes = `"^40C_2`

If all are of different heights, the number of handshakes = 0

∴ Required Difference = `"^40C_2-0=^40C_2`

Concept: Permutation and Combination (Entrance Exam)

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