1. List all the permutations of [a, b, c}.
2. How many different permutations are there of the set
[a.b, c.d. e./.g}?
3. How many permutations of [a, b, c, d, e, f.g) end with
a?
2. Let S = (I, 2, 3,4, 5}.
a. List all the 3-permutations of S.
b. List all the 3-combinations of S.
2. Find the value of each of these quantities.
a) P(6,3)
e) m 8)
b) P(6,5) d) P(8,5) f) P(10.9)
é. Find the value of each of these quantities.
b) C(5.3) d) C(8.8) f) C(I2.6)
a) C(5. I)
c. C(8.4) e) C(8.0)
7. Find the number of 5-permutations of a set with nine elements.
8. In how many different orders can five runners finish a
race if no tics are allowed?
9.How many possibilities are there for the win, place, and
^show (first, second, and third) positions in a horse race
with 12 horses if all orders of finish are possible?
10. There are six different candidates for governor of a state.
In how many different orders can the names of the candidates be printed on a ballot?
11J How many bit strings of length 10 contain
^ a) exactly four Is?
b) at most four Is?
yc) at least four Is? *
d. an equal number of Os and Is?