From a group of 7 newly hired office? assistants, 4 are selected. Each of these 4 assistants will be assigned to a different manager. In how many ways can they be selected and? assigned?

The office assistants can be selected and assigned in ? different ways.

 

The office assistants can be selected and assigned in 840 ways.

Please see the given below explanation, i hope that it will clear all your doubt.

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Step-by-step explanation

According to the question,

It is a combined question of combination and permutation, we can select 4 out of 7 in ⁷C₄ ways = 7! / 3! * 4!.

= 35

Now out of these 4, they are to be assigned also which can be done in 4! (24)ways,

hence total ways = 35 * 24

= 840