Permutation, Combination and Fundamental Counting Principle

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Permutation, Combination and Fundamental Counting Principle
Practice
1) From 8 shirts, 6 pairs of slacks and 4 jackets, how many different
outfits can be made?
2) There are 11 questions on a true/false test. If all questions are
answered, in how many different ways can the test be completed?
3) Find the number of permutations of the letters c, a, r, b, o, n.
4) How many ways can 11 books be arranged on a book shelf?
5) On a 15-item test, the first five items have 4 choices each, the next
five items have 3 choices each and the last five are true or false. If
hoe answers items 2, 7, and 10 correctly and guesses all the others,
how many different ways can he complete the test?
6) How many permutations of the letters of the word BABBLING are
there?
7) The manager of a baseball team wants the best hitter up fifth. If the
lineup consists of 9 players, how many different lineups are possible?
8) How many 3 letter code words can be made from the letters b, c, d, e,
and f, if repetition of a letter is allowed?
9) How many 4-element subsets can be formed from the set {a, b, c, d, e,
f, g}?
10)How many different committees of 3 can be chosen from 12 people?
11)There are 14 different pens in a carton. How many different sets of
11 pens can be chosen?
12)There are 10 soccer players and 8 volleyball players in a room. How
many different groups of 2 players can be chosen so that there are no
soccer players in the group? So that there are no volleyball players in
the group?
13)How many 5-card hands that contain exactly 2 aces and 3 kings can
be chosen from a 52-card deck?
14)A wallet contains a nickel, a dime, a penny and a quarter. How many
different sums of money can be made from the change in the wallet?
15)In a lottery, 4 winners will get equal prizes. If 20 people enter the
lottery, how many different groups of 4 winners can be chosen?
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