The outcomes of a match are that a hockey team can

either win, draw or lose. The team plays 2 matches

(a)How many different outcomes are there

altogether?

(b)How many different outcomes are there if the

team plays 3 matches?

Guest Jan 1, 2021

#1**0 **

a) 9

The team has 3 possibilities for game 1, and 3 possibilities for game 2. 3*3 is 9.

WW

WD

WL

DW

DD

DL

LW

LD

LL

b)27

Adding another 3 for the extra game to the equation, 3*3*3 is 27.

WWW, WWD, WWL

WDW, WDD, WDL

WLW, WLD, WLL

DWW, DWD, DWL

DDW, DDD, DDL

DLW, DLD, DLL

LWW, LWD, LWL

LDW, LDD, LDL

LLW, LLD, LLL

MooMooooMooM Jan 1, 2021