Answer:
Number of combinations = 56
Step-by-step explanation:
Points to remember
nCₐ = n!/(r!(n - r)!)
The given word is "FRIENDLY"
F R I E N D L Y is a 8 letter word.
<u>To find the number of combinations</u>
5 letters can be selected from 8 letter = 8C₅
8C₅ = 8!/(8 - 5)!5!
= 8!/3!5!
= (8 * 7 * 6* 5!)/(1 * 2 * 3 * 5!)
= 8 * 7
= 56
5 letter combinations can be created from the letters in the world “friendly = 56
Answer:
28.137 sq. units.
Step-by-step explanation:
Area of a regular hexagon is
where, a is the side length.
It is given that the side length of the regular hexagon is 
.
Substitute 
in the above formula.
Therefore, the area of regular hexagon is 28.137 sq. units.
Cos 210° = cos ( 180° + 30° ) - cos 30° = - √3/2
Answer:1/3 to the 3rd = 1/9 units
Step-by-step explanation:
a^3 = volume of a cube part 2: 1/2 to the power of 1/2
