I'm pretty sure you're right. To double check, I ran it through an algorithm and got 40 successes:
123,124,125,126,134,135,136,145,146,156,234,235,236,245,246,256,321,345,346,356,421,431,432,456,521,531,532,541,542,543,621,631,632,641,642,643,651,652,653,654