To answer this problem, we can use any of the four counting techniques mentioned above.
Making a table
Number of cyclists
Possible Arrangements
Number OT
Arrangements
4 (A. B.C. D)
24
3 cyclists at a time (for
first second, third):
ABC. ABD, ACB, ACD.
ADB ADC, BAC. BAD
BCA, BCD. BDA BDC
CAB. CAD. CBA, CBD.
CDA COB, DAB, DAC.
DBA DBC, DCA, DCB​

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Solve the system of equations y= 3/2 - 1, -x+ y =-3

Solve 3x-18=2y and 5x-6y=6 by elimination show work