Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-
![^nP_r=\dfrac{n!}{(n-r)!}](https://tex.z-dn.net/?f=%5EnP_r%3D%5Cdfrac%7Bn%21%7D%7B%28n-r%29%21%7D)
Then, the number of different ways they place first, second, and third :_
![^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6\times5\times4\times3!}{3!}=120](https://tex.z-dn.net/?f=%5E6P_3%3D%5Cdfrac%7B6%21%7D%7B%286-3%29%21%7D%3D%5Cdfrac%7B6%5Ctimes5%5Ctimes4%5Ctimes3%21%7D%7B3%21%7D%3D120)
Hence, they can place first, second, and third in 120 different ways .
Answer: C
Step-by-step explanation:
3(x+4y-2)
3x+12y-6
Answer:
you have to set each factor to 0 and solve.
Step-by-step explanation:
You would divide the 2/3 by 4 which would be 1.6 recurring and then put that back into a fraction which would be 1/6. I'm not sure if his is correct but this what is learnt ♡♡chyna
The cost of 3 and 1/2 pounds of almond at the same rate is $26.60.
<h3>What is a fraction?</h3>
A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In the illustration given as m/n, it should be noted that m is the numerator and n is the denominator.
Since the price for 7/8 of a pound of almonds is $6.65, the fraction per pound will be done by dividing the amount for a pound by 7/8.
= $6.65 ÷ 7/8
= $7.6
The cost of 3 and 1/2 pounds at the same rate is:
= 3 1/2 × $7.6
= $26.60
In conclusion, the cost is $26.60.
Learn more about fractions on:
brainly.com/question/78672
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