2m+3=23
2m=20
m=10
let me know in the comments if you need further explanation :)
Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario
and
.





Therefore, offices can be filled in 11,880 different ways.
Below are the choices that can be found from other sources:
A) 36 pi
<span>B) 6 pi </span>
<span>C) 27 pi </span>
<span>D) 216 pi </span>
<span>E) 48 pi
</span>
A sphere's volume is (4/3)*pi*r^3.
<span>The diameter of the balloon is 6 inches. The diameter is twice the radius. The radius is 3 inches. </span>
<span>(4/3)*pi*3^3 = 36 * pi </span>
<span>But the balloon is only 3/4 full. So </span>
<span>36 * (3/4) * pi = 27 * pi. </span>
<span>The balloon has 27 pi cubic inches of water.</span>