1. A local community group in Seri Iskandar called Pusat Kebudayaan Sejahtera Insan (PKSI) is membered by 800 people. PKSI has organized a family day that offfers three sporting events for its members to participate in. The sporting events are called Gulung Tikar Mengkuang (GTM), Lompat Katak (LK) and Tarik Tali Badang (TTB). 180 of its members have participated in all three events; 245 have participated in GTM and LK, 223 have participated in GTM and TTB, 289 have participated in TTB and LK, and 398 have participated in GTM. It is also known that the number of the members who have participated either only in TTB or only in LK is the same as the number of the members who have participated only in GTM. Furthermore, the number of the members who have participated only in LK is ten more than the number of the members who have participated only in TTB. You are asked to determine how many people have not participated in any event, and which sporting event with the highest and that with the lowest number of participants. Propose a counting method for the tasks and show the calculations involved.
1. A local community group in Seri Iskandar called Pusat Kebudayaan Sejahtera Insan (PKSI) is membered by 800 people. PKSI has organized a family day that offfers three sporting events for its members to participate in. The sporting events are called Gulung Tikar Mengkuang (GTM), Lompat Katak (LK) and Tarik Tali Badang (TTB). 180 of its members have participated in all three events; 245 have participated in GTM and LK, 223 have participated in GTM and TTB, 289 have participated in TTB and LK, and 398 have participated in GTM. It is also known that the number of the members who have participated either only in TTB or only in LK is the same as the number of the members who have participated only in GTM. Furthermore, the number of the members who have participated only in LK is ten more than the number of the members who have participated only in TTB. You are asked to determine how many people have not participated in any event, and which sporting event with the highest and that with the lowest number of participants. Propose a counting method for the tasks and show the calculations involved.
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 16T
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Transcribed Image Text:1.
A local community group in Seri Iskandar called Pusat Kebudayaan Sejahtera
Insan (PKSI) is membered by 800 people. PKSI has organized a family day that
offfers three sporting events for its members to participate in. The sporting
events are called Gulung Tikar Mengkuang (GTM), Lompat Katak (LK) and
Tarik Tali Badang (TTB). 180 of its members have participated in all three
events; 245 have participated in GTM and LK, 223 have participated in GTM
and TTB, 289 have participated in TTB and LK, and 398 have participated in
GTM. It is also known that the number of the members who have participated
either only in TTB or only in LK is the same as the number of the members who
have participated only in GTM. Furthermore, the number of the members who
have participated only in LK is ten more than the number of the members who
have participated only in TTB.
You are asked to determine how many people have not participated in any
event, and which sporting event with the highest and that with the lowest
number of participants. Propose a counting method for the tasks and show the
calculations involved.
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