Question

Please help! I have not seen a correct answer yet :(

A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, two 2's, and three 3's. How many possible sequences of rolls could there have been? (For example, 3,2,3,1,3,2 is one possible sequence.)

Answer 1

60 possible sequences.

Explanation:

That would be 6! / 3! 2!

6*5*4*3*2*1

= ------------------

3*2*1*2*1

= 5*4*3

= 60.