Question 23
Kiên, Minh and Hân attend Giảng Võ, Đoàn Thị Điểm and Nguyễn Siêu schools, each at a different school, and each participates in exactly one of IKMC, IMAS and IMSO. Given:
– Kiên does not take IKMC; Hân does not take IMSO.
– The IKMC participant is not at Đoàn Thị Điểm.
– The IMAS participant is at Nguyễn Siêu.
– Hân is not at Giảng Võ.
Represent the students by K,M,H, the schools by G,Đ,N, and the contests by IKMC,IMAS,IMSO in three groups. Connect points from different groups by a solid line when they correspond and a dashed line when they do not.
1. From the directly given information, how many solid and dashed lines can be drawn? Draw them.
2. What type of line joins IMAS to Đ? Hence what type joins IMSO to Đ?
3. Can H–Đ be solid? Why?
4. Which of G,Đ,N is connected to H by a solid line? Determine every student’s school and contest.
Editorial convention for the intended source solution: each contest is used by exactly one student. Address all four parts; the solution also explains the literal wording’s limitation.
– Kiên does not take IKMC; Hân does not take IMSO.
– The IKMC participant is not at Đoàn Thị Điểm.
– The IMAS participant is at Nguyễn Siêu.
– Hân is not at Giảng Võ.
Represent the students by K,M,H, the schools by G,Đ,N, and the contests by IKMC,IMAS,IMSO in three groups. Connect points from different groups by a solid line when they correspond and a dashed line when they do not.
1. From the directly given information, how many solid and dashed lines can be drawn? Draw them.
2. What type of line joins IMAS to Đ? Hence what type joins IMSO to Đ?
3. Can H–Đ be solid? Why?
4. Which of G,Đ,N is connected to H by a solid line? Determine every student’s school and contest.
Editorial convention for the intended source solution: each contest is used by exactly one student. Address all four parts; the solution also explains the literal wording’s limitation.