Sheet # 83 Critical Thinking
Name: _____________________ Date_____________
Show and explain your work. Draw pictures or make tables to explain your answer.
Arrange the set of numbers ( 1, 2, 3, 4) on the vertices of a square so that the sum of every pair of adjacent numbers is a prime number. In how many different combinations can this be done?
Answers for sheet # 83
There are 8 distinct ways. The even and odd numbers cannot be placed together around the square as that would not give you a primer number.
Combination # 1:
A= 1, B=2, C=3, D=4
(1,2,3,4)
Combination # 2
Exchange 2, and 4. New combination will be (1,4,3,2)
Combination # 3:
(4,1,2,3)
Combination # 4
(2,1,4,3)
Combination # 5
(3,4,1,2)
Combination # 6
(3, 2, 1 ,4)
Combination # 7
(2, 3, 4, 1)
Combination # 8
(4, 3, 2, 1)