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question:How many possible ways are there to pick 4 representatives among the seven cities such that there is exactly 1 representative from each of the 4 east coast cities?
answer:Since we need to pick exactly 1 representative from each of the 4 east coast cities, the number of ways to choose 1 representative from each east coast city is C(5, 1) * C(5, 1) * C(5, 1) * C(5, 1) = 5 * 5 * 5 * 5 = 625. In this scenario, we have already chosen 4 representatives, so we don't need to choose any more from the west coast cities. The 3 west coast cities are not represented in this scenario. Therefore, the total number of ways to pick 4 representatives with exactly 1 from each east coast city is 625.
question:By . Daily Mail Reporter . PUBLISHED: . 15:06 EST, 20 December 2013 . | . UPDATED: . 17:47 EST, 20 December 2013 . For Bella Hosford, dealing with the loss of her beloved great grandma did not come easy. Minnie Sue Watts died in August 2012, and the little girl, from Chapel Hill, Tennessee, misses her each day. 'I really do miss her, because she was my favoritest grandmother ever,' Bella said. 'The last day I got to see her, it was a really special day to me, because I knew that she was going to go to Heaven,' Bella said. 'When I hugged her, the last thing she ever said to me was, ''I love you, Bella''.' Recently, Bella decided she needed to send a message to Heaven, according to KLTV. Touched by an angel: When Bella Hosford, from Chapel Hill in Tennessee, sent a balloon to heaven with a message for her late great-grandma, she never anticipated what she would get in return . Message on a balloon: Bella Hosford missed her late great grandmother Minnie Sue Watts (left) so much she decided to attach a note to a balloon asking her to 'come visit soon' and cast it off into the summer air . With the help of her mom, Tricia Hosford, they got a helium balloon and attached a note to it on pink saying: 'Tell Mawmaw I love and to come visit soon. Love Bella.' Months passed, but then on Monday a mysterious package arrived in the mail to their home in Chapel Hill, a rural Marshal County town of only about 1000 people. It was a box wrapped in brown paper, along with the broken balloon and Bella's pink note. Inside the box was a beautiful silver locket. And on the back on the original note read the message: 'Dearest Bella. Mawmaw is always with you. Just close your eyes and you will see her. Love, your guardian angel.' The package: On Monday: Bella Hosford and her mother Tricia found quite a surprise in their mailbox - Bella's letter and balloon, along with a new note and a gift-wrapped box . Prized possession: Inside the box was this silver locket, which must have been sent by a Good Samaritan who found the balloon and its message . Gobsmacked: Bella and Tricia Hosford said they sat on their driveway for 'five, ten minutes' and 'cried and embraced and absorbed the moment' Both mother and daughter were completely floored. 'We stood at the end of the driveway for probably five, 10 minutes, just crying and embracing and just absorbing the moment,' Tricia said. The pair have no idea who sent the poignant package. 'It was a very selfless act, especially at this time of the year, that is worth volumes,' Tricia Hosford said. 'I have no idea. No idea. It's priceless.' The Hosford family live in a small farming town in Tennessee called Chapel Hill, with a population of only about 1000, which only adds to the intrigue of how someone managed to find the balloon . Bella said she initially couldn't consider it to be from anyone 'but mawmaw', but her mom has explained it to her. 'If I knew who that person was, I would walk up to them and hug them on their neck and tell them thank you,' Bella said, adding that the locket is now her most prized possession.
answer:Bella Hosford, a young girl from Chapel Hill, Tennessee, deeply misses her great-grandmother, Minnie Sue Watts, who passed away in August 2012. To cope with her grief, Bella and her mother, Tricia Hosford, attached a note to a helium balloon, asking her great-grandmother to come visit soon, and released it into the sky. Months later, a mysterious package arrived at their home, containing the broken balloon, Bella's note, and a silver locket. The note inside read, Dearest Bella. Mawmaw is always with you. Just close your eyes and you will see her. Love, your guardian angel. Bella and her mother were deeply moved by the gesture, which they believe was a kind act from a stranger. The Hosfords, who live in a small rural town, are grateful for the thoughtful message and the locket, which Bella now treasures as her most prized possession.
question:What is the least common multiple of 135 and 468?
answer:The prime factorization of 135 is 3^3 cdot 5. The prime factorization of 468 is 2^2 cdot 3^2 cdot 13. To find the least common multiple (LCM), we take the highest power of each prime factor that appears in either number. So the LCM of 135 and 468 is 2^2 cdot 3^3 cdot 5 cdot 13 = boxed{7020}. The answer is: 7020
question:I'm looking for innovative ways to increase participation in local arts and culture programs for 18- to 35-year-olds.
answer:One approach could be to create immersive, interactive experiences that blur the lines between artist, audience, and art itself. For instance, hosting live painting sessions where attendees can contribute to a collaborative mural, or interactive theater performances where the audience influences the narrative through social media or real-time voting. You could also consider partnering with popular local venues like coffee shops, breweries, or co-working spaces to bring art to people's everyday lives. This could involve installing temporary exhibits, hosting artist talks, or organizing pop-up performances in these non-traditional settings. By meeting people where they already are, you can reduce barriers to engagement and make arts and culture feel more accessible. Another strategy could be to harness the power of social media and online platforms to create a sense of community and FOMO around local arts events. Imagine an Instagram challenge where people share their own art inspired by a local exhibit, or a Facebook group where attendees can connect with each other and the artists before and after events. You could even use platforms like TikTok or Twitch to live-stream performances or behind-the-scenes content, expanding the reach of your programs beyond physical attendees. Additionally, offering hands-on, skill-building workshops or classes could be a great way to draw in young adults who are looking for creative outlets and networking opportunities. These could be led by local artists or industry professionals and cover topics like photography, creative writing, or arts entrepreneurship. By providing valuable, practical skills, you can attract participants who might not have seen themselves as artistic before. Lastly, consider rethinking the traditional format of arts events themselves. Instead of a standard lecture or performance, try hosting a silent disco where attendees wear headphones and experience different art pieces or performances simultaneously. Or organize a choose your own adventure style festival where participants navigate a series of interactive installations and performances at their own pace. By shaking up the format, you can create a sense of excitement and unpredictability that draws in younger audiences.