How many different values can \(\lfloor x \rfloor + \lfloor 2x \rfloor + \lfloor 3x \rfloor +\lfloor 4x \rfloor\) take for \(0 \leq x \leq 1\)?
Selected values of x calculated value
0 0
.25 1
.33 2
.5 4
.72 5
.75 6
1 10
So ..... 7 values