Page 159 - NUMINO Challenge_C2
P. 159
Answer
Key
There are 2 ways where Ryan is standing in 3 3 outcomes
front, same for Jake and Kevin. Therefore, there
are 2 3 6 outcomes. 49
5A B C
Problem solving bc a
ca b
1 Red ball Yellow ball Blue ball Black ball There are 2 outcomes.
Blue ball Black ball Blue ball
Black ball Yellow ball Black ball Problem solving
Black ball Yellow ball
Yellow ball Blue ball 1 The tree diagram for each case is as shown
Blue ball Yellow ball
below.
There are 6 different outcomes depending on
which of the 4 balls you pick first. Therefore, AB D C
there are 4 6 24 outcomes. CDB
2 When 1 flag is used: red, blue, white CA B D
DB
When 2 flags are used: There can be 2 different
outcomes each time 2 of 3 flags are DAB
used;therefore, there are 3 2 6 different flag DC A B
signals.
There are 6 outcomes.
Red Blue
White 2 Susan's Island B Mainland
A Mainland
When 3 flags are used: There can be 2 different C C Mainland
outcomes when 3 flags are used; therefore, Mainland
there are 3 2 6 different flag signals. B Mainland
Red Blue White A Mainland
White Blue There are 6 outcomes.
Robert can send 3 6 6 15 different flag
signals.
Creative Thinking p.100~p.101
Type 11-2 Tree Diagrams p.98~p.99 1 The problem about choosing 2 colors among 6
1 3 outcomes colors is similar to the problem in which you
have to choose 2 representatives among 6
2A B C D candidates. Therefore, there are 6 5 2 15
b a d c ways to use 2 colors.
c d a
d a c
NUMINO Challenge C2
Key
There are 2 ways where Ryan is standing in 3 3 outcomes
front, same for Jake and Kevin. Therefore, there
are 2 3 6 outcomes. 49
5A B C
Problem solving bc a
ca b
1 Red ball Yellow ball Blue ball Black ball There are 2 outcomes.
Blue ball Black ball Blue ball
Black ball Yellow ball Black ball Problem solving
Black ball Yellow ball
Yellow ball Blue ball 1 The tree diagram for each case is as shown
Blue ball Yellow ball
below.
There are 6 different outcomes depending on
which of the 4 balls you pick first. Therefore, AB D C
there are 4 6 24 outcomes. CDB
2 When 1 flag is used: red, blue, white CA B D
DB
When 2 flags are used: There can be 2 different
outcomes each time 2 of 3 flags are DAB
used;therefore, there are 3 2 6 different flag DC A B
signals.
There are 6 outcomes.
Red Blue
White 2 Susan's Island B Mainland
A Mainland
When 3 flags are used: There can be 2 different C C Mainland
outcomes when 3 flags are used; therefore, Mainland
there are 3 2 6 different flag signals. B Mainland
Red Blue White A Mainland
White Blue There are 6 outcomes.
Robert can send 3 6 6 15 different flag
signals.
Creative Thinking p.100~p.101
Type 11-2 Tree Diagrams p.98~p.99 1 The problem about choosing 2 colors among 6
1 3 outcomes colors is similar to the problem in which you
have to choose 2 representatives among 6
2A B C D candidates. Therefore, there are 6 5 2 15
b a d c ways to use 2 colors.
c d a
d a c
NUMINO Challenge C2