At a competition with 5 runners
2 answers:
Answer:
B: Permutation; Number of ways = 60
Step-by-step explanation:
First we have to decide if this is a problem of permutation or combination. The rule is:
- If the order matters, permutations will be used
- If order does not matter, combinations will be used
In this problem, they order of awarding the medals matters, so this is a permutation problem.
We have to award 3 medals among 5 runners. So this can be done in 5P3 ways:
Therefore, there are 60 ways to award the medal. Therefore, the correct answer is B.
You might be interested in
Answer:
The ratio of the amount for swordfish to the amount of salmon is 6:4
Step-by-step explanation:
Given as :
The price for 1 pound of swordfish = The price of 1.5 pound of salmon
So, On this relation
The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 ) pound of salmon
i.e The price for 2 pound of swordfish = The price of 3 pound of salmon
Now According to question
Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39
Let the money she pay for swordfish = 2 sw
And The money she pay for salmon = 3 sa
∵, The total money she pay for both = $ 39
I.e 2 sw + 3 sa = 39
As 2 sw = 3 sa
So, 3 sa + 3 sa = 39
Or, 6 sa = 39
or, sa = =
∴ sw = ×
or, sw =
Now, the ratio of the amount for swordfish to the amount of salmon =
I.e The ratio =
Hence The ratio of the amount for swordfish to the amount of salmon is 6:4
Answer