How many hours are in a week?
2 answers:
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It these triangles are similar, then the sides of the triangles are in proportion:
<em>cross multiply</em>
<em>use distributive property</em>
<em>subtract 10y from both sides</em>
<em>divide both sides by 5</em>
<em>cross multiply</em>
<em>divide both sides by 8</em>
Answer:
68,600
Step-by-step explanation:
The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Defensive Lineman:
3 from a set of 8. So
56 combinations of defensive lineman
Linebackers:
4 from a set of 7. So
35 combinations of linebackers
Defensive backs:
4 from a set of 7. So
35 combinations of defensive backs
How many different ways can the coach pick the 11 players to implement this particular defense?
56*35*35 = 68,600
68,600 different ways can the coach pick the 11 players to implement this particular defense