Answer:
There are 364 ways of filling the offices.
Step-by-step explanation:
In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

where n=14 (number of members)
r=3 number of offices
n!=n·(n-1)·(n-2)·...·3·2·1

Answer:
5 candies
Step-by-step explanation:
Total of candy Sarah has = 25candies
If Sarah gave 2/5 of the candies to her sister, the total amount she gave her sister will be 2/5 of 25
2/5 of 25 = 10
The remaining candy left will be 25-10 which is 15.
If she gave 2/3 of amount left to her friend, the amount she gave her friend will be 2/3×15 = 10candies.
The amount of candy Sarah have left will be 15- 10 which is 5candies.
<h2>Answer:</h2>
[1] Area of base = 13 × 13 = 169in².
Area of faces = 4 (1/2 × 13 × 8) = 208in².
Surface area = (169 + 208)in² = 377in².
[2] Area of base = 1/2 × 5.2 × 4.5 = 11.7in².
Area of faces = 3 (√3/4 × 5.2²) = 35.1in².
Surface area = (35.1 + 11.7)in² = 46.8in².
[3] Area of base = 7 × 10 = 70in².
Area of faces = 2(1/2 × 7 × 6) + 2(1/2 × 10 × 4.8)
= 98in².
Surface area = (70 + 98)in² = 168in².
4.4 is not a whole number so it isn’t the largest number that is also less than 4.5. The correct answer could be 4
Answer: 49
Step-by-step explanation:
50−16/4+3
=50−4+3
=46+3
=49