(a) If you want each conference attendee to get a unique box of donuts, what is the largest number of attendees you can accommodate? (b) Too many participants sign up, and you end up with 500 registered attendees. Show that by increasing the number of donuts each person receives you can still give everyone unique packs. What is the smallest number you can increase this to?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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You are organizing an undergraduate math conference, and as a treat to the attendees you have arranged
for each of them to receive a pack of 6 artisan genus-two donuts from a local shop called Two Holes
are Better than One. Their donuts come in five flavours: Accumulation Apple, Basic Bavarian, Clopen
Clementine, Minty Metric Space, and Refined Raspberry.
(a) If you want each conference attendee to get a unique box of donuts, what is the largest number of
attendees you can accommodate?
(b) Too many participants sign up, and you end up with 500 registered attendees. Show that by
increasing the number of donuts each person receives you can still give everyone unique packs.
What is the smallest number you can increase this to?
Transcribed Image Text:You are organizing an undergraduate math conference, and as a treat to the attendees you have arranged for each of them to receive a pack of 6 artisan genus-two donuts from a local shop called Two Holes are Better than One. Their donuts come in five flavours: Accumulation Apple, Basic Bavarian, Clopen Clementine, Minty Metric Space, and Refined Raspberry. (a) If you want each conference attendee to get a unique box of donuts, what is the largest number of attendees you can accommodate? (b) Too many participants sign up, and you end up with 500 registered attendees. Show that by increasing the number of donuts each person receives you can still give everyone unique packs. What is the smallest number you can increase this to?
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