Question

there are four teacher and five classes in a school one teacher one teacher teaches only one class at a time in how
many. can be teachers chosse the clasßes​

Answer 1

There are 120 different ways to assign one teacher to one class at a time.

GIVEN:

There are four teachers and five classes in the school. One teacher teaches only one class at a time.

TO FIND:

How many teachers can be chosen

SOLUTION:

If we assume that all teachers are available to teach any class, then the number of ways to assign one teacher to one class is:

Number of ways that 1st teacher can be chosen = 5 times

Number of ways that 2nd teacher can be chosen = 4 times

Number of ways that 3rd teacher can be chosen = 3 times

Number of ways that 4th teacher can be chosen = 2 times

Hence, total number of ways = 5 × 4 × 3 × 2 = 120

Therefore,

There are 120 different ways to assign one teacher to one class at a time.

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