We know that
The formula for combinations is
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange
in this problem
n=15 students
r=4 students
C=15!/[(15-4)!*4!]-----> C=15!/[11!*4!]---> (15*14*13*12*11!)/(11!*4*3*2*1)
C=(15*14*13*12)/(24)----->C=1365
the answer is
1365
Answer:
-103
243
Step-by-step explanation:
(q•r)(5) = q(r(5))
r(5) = 2(5²) + 1 = 51
q(51) = -2(51) - 1 = -103
(r•q)(5) = r(q(5))
q(5) = -2(5) - 1 = -11
r(-11) = 2(-11)² + 1 = 243
Ht of ceiling = 10 ft which is two-thirds of living rm ceiling
Ht of living rm ceiling = 2/3x = 10 ft
2/3h = 10 ft
2/3h times 3/2 to solve for h = 10 times 3/2
h = 30/2
h = 15 ft
Answer:
The paint will not fill the tray by 10.53 cubic inches.
Step-by-step explanation:
We will find the volume of the paint tray and compare it with the volume of the gallon.
Given dimensions are:
Length = 14 inches
Width = 10 inches
Depth = 4 cm or 
inches
The volume is given by = length x width x depth
Volume = 
cubic inches
Volume of 1 gallon is given as = 231 cubic inches
We can see that volume of 1 gallon is more than volume of tray.
Difference = 
cubic inches.
So, the paint will not fill the tray by 10.53 cubic inches.
9514 1404 393
Answer:
48 minutes
Step-by-step explanation:
39% of 122 is ...
0.39 × 122 = 47.58 ≈ 48
Holly has watched about 48 minutes of the movie.
