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A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, two 2's, one 3, and two 4's. How many possible sequences of rolls could there have been?

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Related questions

PROBLEM 25: A six-sided die is weighted so that Pr[1] = Pr[2] = Pr[3] = Pr[5], Pr[4] = Pr[6], and Pr[6] = 2 Pr[1]. If the die is rolled one time, what is the probability that an even number is rolled? A) 1/8 B) 2/5 C) 1/10 D) 5/8 E) none of the above

PROBLEM 11: A six-sided die with sides labeled 1, 2, 3, 4, 5, and 6 is weighted so that the outcomes 1, 2, 3, 4, and 5 are all equally likely to occur. In addition, the outcome 6 is three times as likely as the outcome 1. If this die is rolled one time, what is the probability that a 6 is rolled? A) 1/2 B) 1/16 C) 3/16 D) 3/8 E) 3/7 N) none of the above

PROBLEM 11: A six-sided die is weighted so that each even number is four times as likely as each odd number to be rolled (all even numbers are equally likely, as are all odd numbers). If this die is rolled two times, what is the probability that a "4" lands up on both tosses?? A) 1/36 B) 16/225 C) 1/225 D) 1/144 E) 1/16 N) none of the above

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