Sixteen men compete with one another in running, swimming and riding. How many prize lists could be made, if there were altogether 6 prizes of different values, one for running, 2 for swimming and 3 for riding?

Number of ways of giving one prize for running = 16Number of ways of giving two prizes for swimming =16x15Number of ways of giving three prizes for riding =16x15x14Required ways of giving prizes =16×16×15×16×15×14=163×152×14