BMAD

I have faith in you. But yes, either shelf can go left to right or right to left and must end with 11 DVDs

For example, suppose this is the current arrangement: BDFHJACEGIK Moves: 1. ABDFHJCEGIK (move A) 2. ABCDFHJEGIK (move C) 3. ABCDEFHJGIK (move E) 4. ABCDEFGHJIK (move G) 5. ABCDEFGHIJK (move I) So only 5 moves until they are in order.

Contact Framm

Just realized that I meant multiplication in the title, lol...oops

Just realized that I meant multiplication in the title, lol...oops

Try an odd case and see if you are correct.

I wonder if you could arrange 11 DVD titles say A, B, C, D, E, F, G, H, I, J, K are the titles to produce 9 moves

Thank you for the praise btw

Some of the problems are familiar questions twisted enough to challenge thinking, others are 'classics' that I don't find on here, and lastly some more come from the mundane. Surprisingly the mundane produce some of my favorite problems (tying spaghetti noodles, arranging DVDs, etc. ). I hope I am using mundane correctly, as in problems derived from reali life situations. Your analysis to the first question is correct. We now have 22 DVDs and two shelves to arrange them on each holding a maximum of 11 DVDs. Work the problem out in a few cases and you will see if it is the same as 22 DVDs on one shelf or not.

thank you

check status

120?

Am I allowed to use "^2"(square) here? nope. only zeroes.

Like last time, Prove (Verify) or disprove the following division algorithm: Here is a trick I learned as a child which I think is worth documenting for eternity in cyberspace. It is how to multiply the numbers six through ten using only your fingers. First assign numbers in the following way to the fingers of both hands pinky = 6 ring finger = 7 middle finger = 8 index finger = 9 thumb = 10 Fine, you have just constructed a simple 'digital' computer. Now keep your hands in front of you, palms facing you, thumbs up. Let's say we want to multiply 6 x 7. Touch and hold the pinky of the left hand (6) to the ring finger of the right hand (7). Now with your hands in this position, fingers touching, hands in front of you, palms facing you and thumbs up: count any touching fingers as ten each. (10 for left pinky plus 10 for right ring finger = 20) count any fingers below the touching fingers as ten each.(ten for the right pinky which is below the touching fingers = 10) multiply the number of fingers above the touching fingers on the left hand by the number of fingers above the touching fingers on the right hand. (there are four non-touching fingers above the touching fingers on the left hand and three on the right so 4 x 3 = 12). So now add the numbers obtained from steps 1, 2, and 3. You get 20 + 10 + 12 = 42 and of course the original problem 6 x 7 = 42 Another example? Let's try an easy one. 7 x 8. Hands in position. Touch and hold the left ring (or 7) finger to the right middle (or 8 finger) count the two touching fingers as 10 each = 20. count any non-touching fingers below the two touching fingers as ten each (in this case the left pinky plus the right pinky and ring total up to = 30). count up the non-touching fingers above the touching fingers on the left hand and the non-touching fingers above the touching fingers on the right hand (in this case there are three on the left and two on the right) and multiply them. 3 x 2 = 6 So now add the numbers obtained from steps 1, 2, and 3. 20 + 30 + 6 = 56 and the original problem was 7 x 8 and the answer of course proves to be 56.

Prove (verify) or disprove the following algorithm for division The algorithm is quite simple. 1. Write the two numbers (each 2 digits in length) that you are multiplying side by side. 2. Create a column under the number on the right. Each entry should be half of the entry above it, ignoring any fractional amounts (example: if the number 5 is the right column, the number below it should be 2), stopping when the number 1 appears. 3. Create a column under the number on the left. Each entry should be twice the entry above it. Stop when the left column has the same number of entries as the right column. 4. Cross out any number in the left column whose corresponding number in the right column is even. 5. Add the numbers in the left column which are not crossed out. The number you find in step 5 is the product of the two numbers you started with! Example: 32 25 64 12 128 6 256 3 512 1 ------- 800 So 32 x 25 = 800.

Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.

using only five zeroes and mathematical operators make the number 25.

A beggar on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the beggar finds a total of 216 cigarette butts. How many cigarettes can he make and smoke from the butts he found?

My DVD Shelves used to be organized by genre and frequency of watching. Now that I spend less time watching DVDs I find myself desiring to arrange these DVDs in alphabetical order. I don't care if they are left to right OR right to left, i am not that picky. To arrange my DVDs with precision I will take one DVD off the shelf and place it in the correct spot back on the shelf. If I have 11 DVDs what is the most moves I can expect to make? What if I had two shelves of 11 DVDs each?

There are two interpretations of what the "which" (in turn) referred to... so there is a separate answer out there that is equally plausible.