There are ten pieces of sugar, eat one or three pieces a day, how many different situations are ther

There are 10 pieces of sugar, eat one or three pieces a day, how many different situations are there after eating these sugars?

Depending on the content of the situation you are asking the question. This is a very special question. Now it's a health-conscious thing.

times. Everyone is concerned about the level of sugar. Eating too much sugar is easy to get high blood sugar or diabetes and the like.

This condition is detrimental to the health of the body. Of course, not everyone who eats sugar will be harmed, like people with low blood sugar, he needs to supplement sugar. Therefore, this question can be said to vary from person to person.

If this is the case, then it can be such a question. If you eat a piece of candy, if you eat one piece a day, then there will be several situations after eating these sugars, one by one. Eat for ten days.

Another situation is to eat three pieces of candy a day, then after eating, you have to eat it for three days and 1 3 days.

4 cases. 1 tablet a day for 10 days.

2 Eat three pieces one day and one piece a day for the others Eight days to eat.

3 Eat three pieces on two days, one piece a day for the others, and eat them in six days.

4 Eat three pieces on three days, one piece on the other day, and eat all over four days.

One tablet a day is ten days.

One piece on the first day, and three pieces a day for four days after that (these are four cases, you can eat one piece on any of the four days).

Eat one piece a day for four days, three pieces a day for two days (this can't be counted), eat one piece a day for seven days, and eat three pieces a day (these are eight cases, you can eat three pieces on any day of the eight days).

Eating 1 to 3 pieces of sugar a day will not change if you are normal, but if you are a diabetic, this is dangerous.

The total is 100 sugars.

Eat at least one tablet a day.

There are requirements that the number of pieces eaten per day cannot be the same.

That false respect starts from Yousui 1.

From 1 to 13 is equal to 91

To 14 is equal to 105

Therefore, it can be eaten for up to 13 days.

100 capsules, it is prescribed to eat at least one pill a day, and if there are no other conditions, you can eat it for a maximum of 100 days.

There is 100g of sugar, and the rule is to let Yan eat at least one Tan Bao Yu every day, and the department that eats it every day is different, well, the most sugar can be piled up. How many days will you eat? I think that if you are disturbed by this kind of situation, you can eat it for about a month depending on yourself.

There are eight candies, and if you eat at least one candy a day, until you finish eating, there are 512 ways to eat without the same tangerine. The process of solving the problem is as follows:

Permutation and combination problems, using the interval method:

1. Eat only 1 capsule a day. That is, 9 baffles are inserted in 9 empty spaces in 10 sugars, [·c99=1.

2. Take 2 capsules a day, and 1 capsule for the rest. c98=9。

3. Take 2 capsules on two days Take 3 capsules on 1 day, and take 1 capsule for the rest. c97=36。

So, a total of C99+C98+C97......+c91 c90=1+9+36+84+126+126+84+36+9+1=512 species.

It turned out to be the 2nd floor, and there was a slight clerical error:

Suppose you eat 10 pills on the first day, then eat them all, and there is 1 way to eat;

Suppose you eat 9 pills on the 1st day, then eat 1 pill on the 2nd day, eat them all, and there is 1 way to eat;

Suppose you eat 8 pills on the 1st day, then you eat 2 pills on the 2nd day, or 1 pill on the 2nd day and 1 pill on the 3rd day, there are 2 ways to eat.

Suppose you eat 7 pills on the 1st day, then eat 3 pills on the 2nd day; Or take 1 pill on the 2nd day, 2 pills on the 3rd day, or 4 ways to eat on the 2nd day.

And so on, if you eat n pills on the first day, there are 2 (9-n) ways to eat them (excluding the 10 pills on the first 1st day).

So there is a total of 1+1+2+4+8+16+32....2 8 ways to eat, 1 + 1 + 2 + 4 + 8 + 16 + 32....2 8 = 2 9 = 512, so there are 512 ways to eat it.

10 pieces of sugar were placed in a row, and there was a gap between each two pieces, a total of 9 gaps, and the insert plate method was used for analysis.

Eat 1 kind in 1 day Explanation: Eat 10 pieces at a time on the first day.

Eat in 2 days c91=9 kinds Explanation: Take one of the 9 gaps, insert a board, eat the left side of the board on the first day, and eat the right side of the board on the second day.

Eat in 3 days c92=36 kinds Explanation: Take 2 of the 9 gaps, insert 2 plates, eat the leftmost one on the first day, eat the middle one on the second day, and eat the rightmost one on the third day.

After eating in 4 days, c93=84 kinds are explained slightly.

After eating in 5 days, c94=126

After 6 days, c95=c94=126

After 7 days, c96=c93=84

After 8 days, c97=c92=36

After 9 days, c98=c91=9

After 10 days, c99=c90=1

There are 1+9+36+84+126+126+84+36+9+1=512 ways to eat.

Analysis: 20 pieces of "a bunch of sugar< 40 pieces, evenly distributed to some children in Chi Bu, the number of blocks each person is equal to the number of children, that is, the number of copies = the number of copies, the number of copies x the number of copies between 20 and 40 are: 5x5 = 25 (block), Shidansen 6 6 = 36 (block).

A: There may be 25 or 36 pieces of sugar per acre.

Summary. 256 species.

There are 9 identical candies, and from tomorrow, eat at least one candy a day, until you finish eating, how many ways are there to eat sugar? (

256 species. Calculate with what we collectively call the partition method, divide eight plates into nine areas, representing nine sugars, eat one a day in the middle of the year, and among these eight plates, you can smoke one at will, or those who are resistant to opening or muqiao will draw two and draw three.

Then you can use the lottery method to get that the eighth power of two is equal to 256 kinds.

10 pieces of sugar, a total of 512 ways to eat.

There are a total of 9 moving plates, each of which has two cases: pulling out and pushing, and according to the principle of multiplication, the different situations of 9 plates (i.e., the different ways to eat 10 grains of sugar) are 2 to the 9th power, which is equal to 512

It's a little annoying.,But it's definitely okay to calculate slowly.,First of all, let's assume that the first day of eating is divided into 10 situations.。

2 to the 10-1 power of eating.

National Exam Questions. Permutations and combinations, insertion, c90+c91+....c99

Answer: There is only one way to eat the first candy, and when you eat the second candy, you can eat it on the same day as the first candy, or you can eat it the day after you eat the first candy, there are two ways to eat it. In this way, assuming that the nth grain of sugar has a way of eating, then the whole way of eating n+1 sugar can also be divided into two cases:

1. The n+1 grain and the nth grain of sugar are eaten on the same day, and there is a way to eat them;

2. The n+1 grain is eaten the day after the nth grain of sugar, which is also the same as the nth grain of sugar, and there are also an way to eat it, so there are 2 ways to eat the n+1 sugar.

So there are 29,512 different ways to eat 10 pieces of sugar. That's it for the billing process, I hope it can help you.

55 Kinds of Analysis:

Eat for 9 days: 1 type (eat one per day).

Eat for 8 days: 8 kinds (including two a day).

Eat for 7 days: 21 kinds (three of them a day).

Eat for 6 days: 20 kinds.

Eat for 5 days: 5 kinds.

Total: 55 species.

There are a total of 55 ways to eat permutations and combinations.

Eat for 9 days: 1 kind.

Eat for 8 days: 8 kinds.

Eat for 7 days: 21 kinds.

Eat for 6 days: 20 kinds.

Eat for 5 days: 5 kinds.

Total: 55 species.