A cab ride from your home to the airport cost $23.47. If you want to tip the cab driver close to 10 percent of the fare, how muc
2 answers:
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Answer:
The number of ways the batting line up can be made is 3,851,971,200 ways.
Step-by-step explanation:
The coach of the baseball team needs to choose 9 players for the batting lineup.
He can choose from a total of 4 freshmen, 4 sophomores, 5 juniors and 4 seniors for the team.
He has to choose the team so that there at most 2 juniors on the lineup.
The total number of available player who are not juniors is 4 + 4 + 4 = 12
i) If the coach selects no juniors then there are 9 positions to fill up and
since the batting order is not specific so these 9 players can be selected
from 12 players = = 220 ways
ii) If the coach selects one junior then there are other 8 other positions to
fill up from 12 players and one junior is to be selected from 5 juniors
=
iii) If the coach selects two juniors then there are other 7 other positions to
fill up from 12 players and two juniors are to be selected from 5 juniors
=
So the ways of selecting the players is = 220 + 2475 + 7920 = 10615 ways
Since there is no specific order to the batting line up the number of ways the batting line up can be made = 9! × 10615 = 3,851,971,200 ways.
Answer:
see the explanation
Step-by-step explanation:
Let
D -----> Danielle's age
C -----> Counselor's age
we know that
----> equation A
----> equation B
substitute
equation A in equation B
----> equation that can be used to find Danielle's age
Solve for D
<em>Find the value of C</em>
----> equation that can be used to find Counselor's age
substitute the value of D
therefore
Danielle's age is 7 and Counselor's age is 21