Hello!
this problem comes with a slightly complex math equation that I had to ask my math teacher about, so I hope it helps.
<span>The expression n! means "the product of the integers from 1 to n"
</span>this can be said for any variable
say n is the total and r is the 2-letter combo
C(n,r<span>)=13!/</span>(2!(13−2)!)
If you use this equation, you will get a final answer of: 78
I hope this helps, and have a nice day.
Answer:
1250 different committees can be formed
Step-by-step explanation:
We are told that the club has 5 men and 6 women.
Now we want to choose number of men between 1 and 3 with both inclusive and number of women between 2 and 4 with both inclusive.
We'll use the combination formula;
C(n, r) = n! / [r! (n - r)!]
Where, n = population and r = picks
Thus, we'll multiply the results of the women and men together. And so we have:this gives us ;
(5C1 + 5C2 + 5C3) * (6C2 + 6C3 + 6C4) = (5 + 10 + 10) * (15 + 20 + 15) = 25 * 50 = 1250 ways
The odds against the horse winning is given as 5:4
This means for every 5 times the horse loses it will win 4 times.
5 loses + 4 wins = 9 races.
The probability the horse wins would be 4 races out of 9 total races, which would be written as 4:9
Answer:
$39
Step-by-step explanation:
the original price which is $60 represents <u>100%</u>
it has been reduced by 35%
100% - 35%= 65%
0.65 × $60 = $39
the price is now less than the original because it has been REDUCED