MathAdmin at 17:26, 2 June 2015

2015-06-02T17:26:53Z

MathAdmin: Created page with " Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number) {..."

2015-06-01T05:50:59Z

Created page with "<span class="exam"> Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number) {..."

New page

<span class="exam"> Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number)
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Foundations
|-
|If there are n teams, how many ways can first prize be awarded?
|-
|Answer:
|-
|Each team could win first place. So, there are n ways that first prize can be awarded.
|}

Solution:

{| class = "mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 1:
|-
|There are 10 ways that first prize could be awarded.
|}

{|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 2:
|-
|After choosing a first place winner, there are 9 ways that second prize could be awarded.
|}

{|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 3:
|-
|After choosing both a first and second place winner, there are 8 ways that third prize could be awarded.
|}

{|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 4:
|-
|So, the total number of ways first, second, and third prizes can be awarded is <math>10*9*8=720</math>.
|}

{|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
! Final Answer:
|-
|<math>720</math>
|}

[[004 Sample Final A|<u>'''Return to Sample Exam</u>''']]

@@ Line 34: / Line 34: @@
 ! Step 4:
 |-
-|So, the total number of ways first, second, and third prizes can be awarded is <math>10*9*8=720</math>.
+|So, the total number of ways first, second, and third prizes can be awarded is <math>10\cdot 9\cdot 8=720</math>.
 |}

004 Sample Final A, Problem 18 - Revision history

MathAdmin at 17:26, 2 June 2015

MathAdmin: Created page with " Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number) {..."