Answer:
15P3 = 15!/ (15-3)! = 15*14*13*12! / 12! = 15*14*13
Step-by-step explanation:
When the seats are empty, there are a total of 15 people that can possibly sit in there. There will only be 1 person left.
When the 1st seat is taken there are now 14 people who can possibly sit on another chair. Same goes when 2 seaats are taken.
To find the total number of possibilities, we multiply together the possible number of people for seat 1, seat2, and seat 3.
Or, if we use stat, nPr = n! / (n-r)!
Meaning:
15P3 = 15!/ (15-3)! = 15*14*13*12! / 12! = 15*14*13
Answer: 
Step-by-step explanation:
Given: The Holy Roman Empire was a group of regions in Central Europe that was held together by a political union. The Holy Roman Empire was formed in the year 962.
Let x represent any year.
Now, the inequality in terms of x and 962 that is true only for values of x that represent years before the year that the Holy Roman Empire formed is given by :-
Answer:
67
Explanation:
the angle labeled 10 which is =113 and the angle labeled 11 are co interior angles.
co interior angles add upto 180 therefore to get the value of the angle labeled 11 you subtract 113 from 180 which gives you 67
the angle labeled 11 which is =67 and the angle labeled 8 are alternate angles. Alternate angles are equal therefore the value of the angle labeled 8 which you've been asked to give is 67
Answer:
the correct option is<u> d) 72</u>
Step-by-step explanation:
The given expression is 
first multiply numerator and then solve the fraction
solve the fraction,
∴The equivalent expression of is 72
Hence, the correct option is<u> d) 72</u>
