Step-by-step explanation:
Answer:
4.4 * 10^21
Step-by-step explanation:
Given :
Number of pop, n(p) = 10
Number of reggae, n(r) = 25
Number of blues, n(b) = 10
Total number of songs to select (n) = 15
If she wants equal Number if the 3 genres
Each genre will have : 15/3 = 5 songs each
Hence,
(10C5 * 25C5 * 10C5) * n!
Combination formula :
pCr = p! / (p-r)! r!
Using calculator to save computation time :
(10C5 * 25C5 * 10C5) * n!
(252 * 53130 * 252) * 15!
= 4412050844368527360000
= 4.4 * 10^21
1.. Plug in f... 4 - (2 x 1).
2.. Multiply 2 x 1... 4 - 2
3.. Subtract... 4 - 2 = 2
The answer is 2
Answer:
48 mi²
Step-by-step explanation:
Extending the center vertical line to the bottom edge of the figure causes it to divide the figure into two rectangles. One is 7 mi high by 4 mi wide; the other is 2 mi high by (14 -4) = 10 mi wide.
The area of each is the product of its height and width, so the total area is ...
A = (7 mi)(4 mi) +(2 mi)(10 mi) = 28 mi² +20 mi² = 48 mi²
The area of the given geometric figure is 48 mi².
