### Problem:Kweku belongs to three different social clubs in his community. Each club has its own meeting schedule:- One club meets every 5 days.- Another club meets every 7 days.- The third club meets every 10 days.All three clubs had their first meeting on the same day. The question is: **How many days after their first meeting will they all have their meeting on the same day again?**### Explanation:To solve this problem, we need to find the least common multiple (LCM) of the meeting intervals (5, 7, and 10 days) to determine when all clubs will meet on the same day again. The LCM is the smallest number that is a multiple of each of the numbers.

Answered: Image /qna-images/answer/9d4b561c-e52e-4d97-b75f-d03ad2b079f3.jpg

Answered: 11. (a) Kweku belongs to three…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people, includinga president, a vice-president, and a secretary.(a) How many different ways do you have to pick a president, vice-president and secretary if you need atleast 1 men and 1 women? Does the order matter? Why?(b) How many different committees can you form with at least 3 women? Does the order matter? Why?
(8) Suppose a license plate contains two letters followed by three digits with the first digit not zero. How many different license plates can be printed, if repetition of letters and digits are allowed?
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Suppose that the captain of a ship that is in distress must send a total of eleven different signals in succession. The eleven signals com- prise of 4 blue light signals (B1, B2, B3 and B4), 4 purple light signals (P1, P2, P3 and P4) and 3 red light signals (R1, R2 and R3). He must send the signals one after another at 1 minute intervals. In how many different ways may the captain send the signals if the purple light signals are the first 4 signals and the red light signals are the last 3 signals? [Answer]
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