In how many ways can 4 people be arranged in a row to have picture taken?

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Four people are to be arranged in a row to have their picture taken. In how many ways can this be done?

Please see the attached solution if there is any mistake Please identify.

Regards
 

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Your image is not easy to read. With larger images (eg: the size of a full sheet of paper), I get the best results here by using multiple, smaller images and by cropping off the unneeded parts before uploading.

Your explanation is good, and the steps with the solution at the bottom are correct.

I'm not sure what the ratios near the top represent. Cheers :cool:
 
thanks for the reply , these are not the ration the numbers at the bottoms represents the positions like 1 ,2 ,3 ,4 . and the numbers at the tops represents in how many ways the first number can be selected.
 
… these are not [rational] numbers … the bottoms represents the positions like 1 ,2 ,3 ,4 and the numbers at the tops represents in how many ways the first number can be selected.
Okay, then do not write an equals sign before them. Cheers :cool:
 
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