Answer:
![\binom{18}{5}= 8568](https://tex.z-dn.net/?f=%20%5Cbinom%7B18%7D%7B5%7D%3D%208568)
Step-by-step explanation:
Note that we have in total 18 items. Even though we are given information regarding the amounts of items per type, the general question asks the total number of ways in which you can pick 5 out of the 18 objects, without any restriction on the type of chosen items. Therefore, the information regarding the type is unnecessary to solve the problem.
Recall that given n elements, the different ways of choosing k elements out of n is given by the binomial coefficient
.
Therefore, in this case the total number of ways is just ![\binom{18}{5}=8568](https://tex.z-dn.net/?f=%5Cbinom%7B18%7D%7B5%7D%3D8568)
It would be 14 for the perimeter
Answer:
y=4/5x + 2
Step-by-step explanation:
y=mx+b
find slope which is 8/10=4/5
choose a y and plug into problem
Answer:
No, more than one hamburger was sold
9514 1404 393
Answer:
all 4 acute angles: 15 degrees
all 4 obtuse angles: 165 degrees
Step-by-step explanation:
The sum of same-side interior angles between parallel lines is 180°. The smallest of them will be 3/(33+3) = 1/12 of 180°, or 15°. The largest will be 180° -15° = (33/3)(15°) = 165°. All remaining angles are congruent to one or the other of these.
All four acute angles are 15°; all four obtuse angles are 165°.