Catherine rolls a -sided die five times, and the product of her rolls is 300. How many different sequences of rolls could there have been? (The order of the rolls matters.)

Hi. Some people have posted questions similar to this one but their not that same. I've looked at those ones and tried to apply it to this one, but it was always wrong. Pls halp.

Guest Apr 15, 2022

#3**-2 **

The prime factorization of 300 is 2 × 2 × 3 × 5 × 5, so you try to find the number of combinations of 2 x 2 x 3 x 5 x 5

qjin27 Apr 15, 2022

#6**+2 **

300 factors as 5^2 * 2^2 * 3

I see the possible identifiable sequences as

5 * 5 * 2 * 2 * 3 = 5!/(2! * 2!) = 30

5 * 5 * 4 * 3 * 1 = 5! / 2! = 60

5 * 5 * 6 * 2 * 1 = 5! / 2! = 60

I get 150

Anyone else ???

CPhill Apr 15, 2022

#7**0 **

I just got that before I saw your post. That is correct!! Can you please try and answer this question? https://web2.0calc.com/questions/pls-halp_27

Guest Apr 15, 2022

#8**+1 **

Although I don't know the answer to this.....here is a very similar question answered by amy :

https://web2.0calc.com/questions/help-is-appreciated-thank-you

I think that you only need to change a few numbers and then graph the inequalities.....it should give you a trianglular area that you can calculate to the total area

CPhill
Apr 15, 2022