Suppose that 4 of 12 identical TVs are broken. In how many ways
can a sample...
Suppose that 4 of 12 identical TVs are broken. In how many ways
can a sample of 3 include the following? Show your work.
(a) one broken TV
(b) no broken TV
(c) at least one broken TV
in how many ways can you distribute 13 identical
pieces of candy to 5 children, if two of the children are twins and
must get an equal number of pieces and every child must receive at
least one piece?
A earton of 12 transistor batteries contains 4 that
are defective. In how many different ways can one choose 3 of these
batteries so that
a) none of the defective batteries is included
b) exactly 1 of the defective batteries is included
c) exactly 2 of the defective batteries are included
d) exactly 3 of the defective batteries are included
Permutations
1) In how many ways can 8 identical rooks be placed on an 8×8
chessboard so that none can capture any other, namely no row and no
column contains more than one rook?
2) In how many ways can three couples be seated in a row so that
each couple sits together (namely next to each other): a) Row b) In
a circle
4. In a race with 8 horses, in how many ways can the race end
with the first, second, and third place winners?
5. For one week in May, an insurance agent kept records of the
number of prospective clients (x) with whom she had consulted and
the number of them who had purchased a policy (y).
a. Find the correlation coefficient r
b. Find the coefficient of determination ?2
c. What percentage of the variation in the number of...
A)You have 12 songs on your ipod. In how many ways can you make a
playlist of 5 songs for your workout? Yes order matter; playing
fight songs before thinder is totally different from thunder before
fight song.
B) the model if car you are thinking of buying is available in
none different colors and three different styles(hatchback,sedan,
or station wagon). In how many ways can you order the car?
How many ways are there to pass out 20 candies (all candies are
identical) to 6 children? Based on the following conditions:
-No restriction
-Every child receives at least one candy.
-No child receives the same number of candies.
(5) Taking into account identical letters, how many ways are
there to arrange the word CALLITRICHIDAE?
(5) Taking into account identical letters, how many ways are
there to arrange the word CALLITRICHIDAE that start or end with
vowels?
(5) Taking into account identical letters, how many ways are
there to arrange the word CALLITRICHIDAE that contain the substring
LITERAL?
(5) Taking into account identical letters, how many ways are
there to arrange the letters in the word
ANTIDISESTABLISHMENTARIANISM?