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
Answer:
362,880 different
Step-by-step explanation:
Use the permutation 9*8*7*6*5*4*3*2*1. Since there are 9 possible players for the first position, 8 for the 2nd (1 is taken off), 7 for the 3rd, etc. So you would multiply these numbers together. So there are 362,880 different possible batting orders.
Using variables, we can represent many real life situations where the price, quantity or value of an object may be unknown. For example, many payments come in the form of monthly payments and a starting cost. Take a gym membership for example. Let y be the amount of money you have paid to the gym, x be the number of months you have gone.
y = 30x + 65
This equation models the amount of money you've paid to the gym given that the monthly fees is $30 and the registration fees was $65
<u><em>Answer:</em></u>
Total fair of the two trips was $32.7
<u><em>Explanation:</em></u>
<u>We are given that the expression that taxi fair is:</u>
2.85 + 2.7M where M represents the number of miles
<u>1- For Thursday:</u>
Number of miles covered = M = 6 miles
<u>Substitute with M=6 in the given equation to get the fair on Thursday as follows:</u>
Fair on Thursday = 2.85 + 2.7(6) = $19.05
<u>2- For Friday:</u>
Number of miles covered = M = 4 miles
<u>Substitute with M=4 in the given equation to get the fair on Friday as follows:</u>
Fair on Friday = 2.85 + 2.7(4) = $13.65
<u>3- The total fair:</u>
Total fair = fair on Thursday + fair on Friday
Total fair = 19.05 + 13.65 = $32.7
Hope this helps :)
Answer:
The answer for that is m≥−5
