Answer:
<h2>a) 120 ways</h2><h2>b) 6 unique ways</h2>
Step-by-step explanation:
The question will be solved using the permutation formula since are arranging. <u>Permutation deals with arrangement.</u>
If there we are to arrange n objects taking 'r' at a time, this can be done in nPr ways.
a) If you therefore have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. Since they are in a single file line, This can be done in 6P3 number of ways.
b) The number of unique ways to arrange the letters in the word DEN is 3! ways since there are only 3 letters in the word.
3! = 3*2*1
3! = 6ways
Answer:
(3,4)
Step-by-step explanation:
The number you're looking for is 5. 6*5=30
Step-by-step explanation:
As seen from the graph, the curve crosses the x-axis when x = -1 and x = 1. The y-intercept of the curve is -1.
Hence, the quadratic equation of the curve is y = x^2 - 1.
Answer C
Circle area = pi * r^2
If the area is 36*pi, then r^2 is 36 and r (the radius) is 6.
The perimeter of one of the regions consists of two radiuses and an eighth of the circle's circumference.
Two radiuses=6*2=12
An eighth of the circumference: (2*pi*r)/8 = 2*pi*6/8 = 2*6/8*pi = 1.5*pi
So, the perimeter of a section is 12 + 1.5pi