Four players ABC and D agree to divide the 16 items shown be

Four players (A,B,C, and D) agree to divide the 16 items shown below by lining them up in order and using the method of markers. The players bida are as indicated.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

A c,d A D B C A,D C B

a) Which items go to A?

b) Which items go to B?

c) which item go to C?

d) Which items go to D?

e) which items are left over?

Solution

We are given
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
A cd A D B C AD C B

(A)
we can see that A is in front of 1,4,8
so, 1,4,and 8 go to A

(B)
we can see that
B is in front of 6 and 11
so, 6 and 11 go to B

(C)
we can see that
C is infront of 2,7 and 10
so, 2,7 and 10 go to C

(D)
we can see that
D is in front of 3,5 and 9
so, 3,5 and 9 go to D

(E)
we can see that after 11 , each numbers are left over
Hence , 12, 13 , 14 , 15 and 16 are left over