Let S = {a,b,c,d,e,f,g} and let T = {1,2,3,4,5,6,7,8}.
a. How many different functions are there from...
Let S = {a,b,c,d,e,f,g} and let T = {1,2,3,4,5,6,7,8}.
a. How many different functions are there from S to
T?
b. How many different one-to-one functions are there from S to
T?
c. How many different one-to-one functions are there from T to
S?
d. How many different onto functions are there from T to
S?
Suppose we want to choose 5 colors, without replacement, from 13
distinct colors. (a) How many...
Suppose we want to choose 5 colors, without replacement, from 13
distinct colors. (a) How many ways can this be done, if the order
of the choices matters? (b) How many ways can this be done, if the
order of the choices does not matter?
A
square trinket is made from 100 heavy beads (each of mass m),
connected by massless...
A
square trinket is made from 100 heavy beads (each of mass m),
connected by massless fiber. The beads are evenly spaced. Since
there are four beads that make up the corners, each side consists
of 24 beads–excluding the beads at the corners. Each side has a
length L. What is the moment of inertia of the trinket about its
center?
Please show work step by step to explain answer