Permutation is different from combination because in combination the order is not a factor in considering the possible ways while permutation considers order as a factor. we are asked in this problem to evaluate 3P0 which is equal to 1.
Answer:
Step-by-step explanation:
Because the function is a product, the zeros will occur when any term is equal to zero. For
(x-1)(x+3)(2x+1) the value will be zero when x=1,-3, or -1/2 so the points are
(-3,0), (-1/2,0), and (1,0)
Answer:

Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,

So, the required angle of elevation of the sun is equal to
.
Answer:
4410 cards, 9 albums
Step-by-step explanation:
Number of cards in a box = 315
Number of boxes = 14
b) Total number of cards = Number of boxes × Number of cards in 1 box
=
a) Carmella estimated she had 3,000 cards so she bought a 6 album of 500 cards.
No, 6 albums are not enough as she estimated wrong number of cards. There are total of 4410 cards but she estimated it to be 3000 cards.
c) Total number of albums required = 

Thus, she will require 9 albums to put all her cards.