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
Good evening ,
Answer:
<h2> 3</h2>
Step-by-step explanation:
255 = 3×5×17
726 = 2×3×11^2
Then HCF(255,726) = 3.
:)
Answer:
9
Step-by-step explanation:
The possible dimensions of the larger piece of paper that could give us 1000 square inches for area are:
1×1000; 2×500; 4×250; 5×200; 8×125; 10×100; 20×50; 25×40
We want to use dimensions that will allow us to cut 8 1/2 by 11 sheets. This means that the smallest dimension needs to be larger than 8 1/2 inches; this leaves us with
10×100; 20×50; 25×40
For the first one, 10×100, we can have 1 row across the 10 inch dimension, and 100/11 = 9 columns across the other dimension. This gives us 1×9 = 9 sheets.
For the 20×50, we can have 2 rows across the 10 inch dimension and 50/11 = 4 columns; this gives us 2×4 = 8 sheets.
For the 25×40, we can have 2 rows across the 25 inch dimension (we lack half an inch of having 3) and 40/11 = 3 columns; this gives us 2×3 = 6 sheets.
The largest number of sheets was 9.
