Four universities—1, 2, 3, and 4—are participating in a holiday basketball tournament. in the first round, 1 will play 2 and 3 will play 4. then the two winners will play for the championship, and the two losers will also play. one possible outcome can be denoted by 1324 (1 beats 2 and 3 beats 4 in first-round games, and then 1 beats 3 and 2 beats 4). a. list all outcomes in s. b. let a denote the event that 1 wins the tournament. list outcomes in a.

a) S= (1324

1342

1423

1432

2314

2341

2413

2431

3124

3142

3214

3241

4123

4132

4213

4231)

b) A= (1324

1342

1423

1432)

Step-by-step explanation:

The number of total outcome is given by,

T= 4×2×2×1=16

Listing them we have;

S=

(1324

1342

1423

1432

2314

2341

2413

2431

3124

3142

3214

3241

4123

4132

4213

4231)

b) A= (1324

1342

1423

1432)

Step-by-step explanation:

Triangle A:

base = 2 cm

Height =3 cm

Area = (1/2)*base *height

=3 sq. cm

Triange B:

base = 2 cm

Height =3 cm

Area = (1/2)*base *height

Area = (1/2)*base *height

=3 sq. cm

Triangle C:

base = 3 cm

Height = 3 cm

Area = (1/2)*base *height

= 4.5 sq. cm

a) Triangle C has the largest area.