bash shell pull all values from array in random order. Pull each value only once

I need to pull the values from an array in a random order. It shouldn't pull the same value twice.

R=$(($RANDOM%5))
mixarray=("I" "like" "to" "play" "games")
echo ${mixarray[$R]}

I'm not sure what to do after the code above. I thought of putting the first pulled value into another array, and then nesting it all in a loop that checks that second array so it doesn't pull the same value twice from the first array. After many attempts, I just can't get the syntax right.

The output should be something like: to like I play games

Thanks,