At a competition with 6 runners, 6 medals are awarded for first place through sixth place. each medal is different. how many ways are there to award the medals? decide if the situation involves permutation or a combination, and then find the number of ways to award the medals

There are 720 ways to award the medals

Step-by-step explanation:

* Lets explain the difference between permutations and combinations

- Both permutations and combinations are collections of objects

- Permutations are for lists (order matters)  

- Combinations are for groups (order doesn't matter)  

- A permutation is an ordered combination.  

- Permutation is nPr, where n is the total number and r is the number  

 of choices

# Example: chose the first three students from the group of 10

  students, n = 10 and r = 3,then 10P3 is 720

- Combinations is nCr, where n is the total number and r is the number  

  of the choices

# Example: chose a group of three students from the group of 10

  students n = 10 and r = 3,then 10C3 is 120

* Lets solve the problem

- There are six runner

- There are 6 medals awarded for first place through sixth place

- Each medal is different

- The order is important because they arranged from 1st position to

  the 6th position

∴ We will use the permutation

∵ There are 6 medals for 6 runners

∵ 6P6 = 6 × 5 × 4 × 3 × 2 × 1 = 720

∴ There are 720 ways to award the medals

permutation; 720 ~apex

Step-by-step explanation:

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

l.jnl.j/n.m,lm,

step-by-step explanation: