Easier way to check if else statements of 3 variables with 7 statements

Is there a simple way to test 2 variables with 3 conditions or 3 variables with 7 conditions and so on?

def checkXYZ():
    if x==1 and y==0 and z==0:
        doX()
    elif x==0 and y==1 and z==0:
        doY()
    elif x==0 and y==0 and z==1:
        doZ()

    elif x==1 and y==1 and z==0:
        doXY()
    elif x==0 and y==1 and z==1:
        doYZ()
    elif x==1 and y==0 and z==1:
        doXZ()

    elif x==1 and y==1 and z==1:
        doXYZ()