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question:A TV station continuously plays 5 advertisements, consisting of 3 different commercial advertisements and 2 different Olympic promotional advertisements. The requirements are that the last advertisement must be an Olympic promotional advertisement, and the 2 Olympic promotional advertisements can be played consecutively. How many different playback methods are there? A: 120 B: 48 C: 36 D: 18
answer:This problem can be broken down into several steps: 1. First, we know that the last advertisement must be an Olympic promotional advertisement. We have 2 choices for this (either one of the two Olympic promotional advertisements), which gives us C(2,1) = 2 options. 2. Next, we consider the case where the two Olympic promotional advertisements are not played consecutively. This means the second Olympic promotional advertisement can only be placed in one of the first three positions. There are 3 choices for this. 3. Finally, we arrange the remaining 3 advertisements (the commercial ones) in the remaining positions. This can be done in A_3^3 = 3! = 6 ways. Combining these steps, the total number of arrangements is 2 times 3 times 6 = boxed{36}.
question:Your response should contain at least 4 sentences. The response must have 2 sections. Mark the beginning of each section with Section 1 and Section 2. Include keywords travel, adventure, and explore in the response. At the end of your response, please explicitly add a postscript starting with P.S.
answer:Section 1 Travel opens up a world of possibilities, inviting us to embark on new adventures and explore uncharted territories. Whether it's the bustling streets of a foreign city or the quiet trails of a remote wilderness, each journey offers unique experiences and opportunities for growth. Section 2 Adventure is not just about the destination but also the journey itself. It's about pushing boundaries, discovering new cultures, and forming unforgettable memories. So pack your bags and set out to explore the world, for life is an adventure waiting to be lived. P.S. Remember, the best adventures are the ones that challenge you the most.
question:The ratio between the number of sheep and the number of horses at the Stewart farm is 2 to 7. Each horse is fed 230 ounces of horse food per day. The number of sheep in the farm is 16. How much total horse food does the farm need per day?
answer:If the ratio of sheep to horses is 2:7, and there are 16 sheep, we can set up a proportion to find the number of horses. Let the number of horses be ( H ). [ frac{2}{7} = frac{16}{H} ] Cross-multiply to solve for ( H ): [ 2H = 7 times 16 ] [ 2H = 112 ] [ H = frac{112}{2} ] [ H = 56 ] So there are 56 horses on the farm. Each horse is fed 230 ounces of horse food per day, so the total amount of horse food needed per day for all the horses is: [ 56 text{ horses} times 230 text{ ounces/horse} = 12880 text{ ounces} ] Therefore, the farm needs boxed{12,880} ounces of horse food per day.
question:What are the lower 4 bits of the byte at index 3 and 10 in the byte array [12, 34, 56, 78, 90, 123, 234, 11, 13, 14, 15]?
answer:<tool_call>[{name: get_nibble, arguments: {byte_array: [12, 34, 56, 78, 90, 123, 234, 11, 13, 14, 15], index: 3}}, {name: get_nibble, arguments: {byte_array: [12, 34, 56, 78, 90, 123, 234, 11, 13, 14, 15], index: 10}}]</tool_call>