Sage-Tips

How many ways can you select 12 donuts when 5 varieties are available?

In how many ways can one dozen donuts be selected if the store offers 5 varieties of donuts, and no order can contain more than 8 chocolate donuts? There are a total of 12+5-1 C12 = 16C12 = 1 820 possible orders without restrictions.

How many different ways are there to choose a dozen donuts from the 21 varieties at a donut shop?

225,792,840 ways
1) How many ways are there to choose a dozen donuts from the 21 varieties at a donut shop? Straightforward application of Theorem 2. r = 12, n = 21, so we have C(12+21-1, 12) = C(32, 12) = 225,792,840 ways.

How do you play donuts with donuts?

Each player has a number card for each donut that is out. Players all pick a donut they want by placing one of their number cards face down on the table. Players simultaneously reveal their number. If two or more players have matching numbers, that donut is discarded and no one gets it.

How many ways are there to select a set of 8 donuts from 3 varieties donuts of the same variety are indistinguishable?

So the total number of combinations is 7+8+9 = 24 .

How many ways can you order 6 donuts from a shop that has 4 Types A B C D if you can only order at most 3 donuts of A?

6⋅5⋅4 = 120 ways to do this.

How many solutions are there to the equation x1 +x2 +x3 +x4 17 where x1 x2 x3 and x4 are non negative integers?

(a) How many solutions are there to the equation x1 + x2 + x3 + x4 = 17 when xi is a non-negative integer for 1 ≤ i ≤ 4. Solution. This equation has C(17 + 4 − 1,17) = 20!

How many ways are there to distribute the donuts if the donuts are all different?

How many ways are there to distribute the donuts if the donuts are all different? Answer: 24! Why couldn’t we use the product rule here and say 24 donuts x 24 kids = total different outcomes. Got confused and wondering how this is different than say having 3 shirts and 2 pants, then you can make 6 different outfits.

How many different types of donuts are there in 216 total?

If you consider ordered triplets, then you have 6 choices for the first, then again other 6 for the second and still 6 for the third, summing up to 6 3 = 216. or you count as follows: the outcome contains exactly either 3, 2 or 1 different types of donuts.

How many Donuts do you get when you fill up XP?

Unlike the 5 outcomes that exist if you always go for 3 donuts, there are only 3 possible outcomes of those donut boxes if you stop at the first choice: So the average of these 3 outcomes is 2 donuts when you fill a 1,000,000 XP bar.

How many combinations of 3 Donuts equal 30 + 20 + 6?

If the 3 donuts are all of the same type, then it is trivial that you have exactly 6 other choices. Therefore 30 + 20 + 6 = 56 as stated in the binomial formula. This means that n = 6 and k = 3, you’ll calulate the number of combinations using this formula: Thanks for contributing an answer to Mathematics Stack Exchange!

How much would it cost to buy 3 Donuts?

There are 5 possible outcomes of those donut boxes if you always go for three donuts: If we average these 5 probable outcomes (taking into account the first possibility is twice as likely as the other 4), you’ll earn 3 donuts at a cost of $50,000. So “Always Going For 3 Donuts” cost $16,667 per donut.