The correct answer is 'du -h /home/* > disk_report.txt' because the '>' operator will redirect the output of the 'du' command to 'disk_report.txt', overwriting its contents every time the command is run, thus only saving the latest disk usage report in the file.

The 'du -h /home/* >> disk_report.txt' is incorrect because using the '>>' operator would append to the file rather than overwriting it, leading to accumulation of data over time rather than maintaining a single report.

The 'du -h /home/* < disk_report.txt' is incorrect because the '<' operator is used for input redirection, which is not what is needed when intending to write to a file.

Lastly, 'du -h /home/* &> disk_report.txt' is incorrect as '&>' redirects both standard output and standard error to a file, which could include error messages in the report unnecessarily.