2b=c-2a
b=(c-2a)/2
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Answer:
Step-by-step explanation:
60 guests are there with 10 circular tables of 6 seats each.
First we have to select 6 persons from 60 for I table and next 6 persons for II table etc.
i.e.first table can be assigned 6 people in 60C6 ways
II table from remaining 54 in 54C6 ways
....
Each table with 6 persons can be arranged in a circular table in 5! ways
(since Two seating arrangements are considered the same if the person to the left of each person is unchanged)
Thus no of ways of allotting persons to different tables
= 60C6*54C6*48C6*42C6...*6C6
Each table allotment is in (6-1)! = 5! ways
Total ways of seating arrangement =
Answer:
It's irrelevant.
Step-by-step explanation:
20 theater tickets cost 20T, 16 cinema tickets cost 16C.
Their sum is 20T+16C
You can factor a 4 out of this expression to get 4(5T+4C).
The two expressions are completely equivalent: there is no reason, in general, to prefer 20T+16C or 4(5T+4C).
Sometimes, the exercise may ask explicitly for the factored form.
In other cases, one of the two expression might be more useful: if you had to divide everything by 2, of course it's easier to write
If instead you had to subtract 10T, it would be more useful to write
To recap, 20T+16C and 4(5T+4C) are completely equivalent, and unless you have explicit requests, you may prefer one or the other depending on the calculations you have to do.
DB is a median (given). It goes from vertex point D to midpoint B.
The point B is the midpoint of segment AC. So B cuts AC into two equal halves: AB and AC
Meaning AB = AC
AC = AB+BC ... segment addition postulate
AC = AB+AB ... substitution; replace BC with AB (valid because AB = AC)
AC = 2*AB
2*AB = AC
2*AB = 50 ... substitution; replace AC with 50
2*AB/2 = 50/2 ... divide both sides by 2
AB = 25 which is the answer