The document discusses combinations and permutations. It provides examples of how to calculate the number of possible combinations and permutations of objects in a set or group, including cards in a deck. Formulas are given for combinations and permutations, and examples are worked through step-by-step to demonstrate calculating combinations and permutations in different scenarios.

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8. 1 . A committeeis to consistof two members. therearefour men andfive *o-.n
If /, ': 3 /.
^
to serveon the committee,how manydifferentcommittees be formed?Y -
can (
ryailable
Cf1atr
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ro F) 72 tcl 40 tDls4
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Howmany
different
3-card
hands bedrawn
can froma standard of52 playing
deck c
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3 . A lunch menuconsistsof 5 different kinds of sandwiches, different kinds of soup,and 5
2 |
different drinks. How manychoicesaretherefor orderinga sandwich,a bowl ofsoup,
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anda drink?
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4. Twelve peopleareenteredin a race.If theni areno ties, in how manywayscanthe first ,
^f
tx"1
threeplaces
comeoutT---'- _
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5 . Find the numberof distinguishable
permutatPi4the leftersIOWA. 4l r3 =r
lAt 12 [B] 16 Vy [D] 36
6. Find the numberof distinguishable
permutations the lettersHONEST.
of
Y
al
=-J "t-o
7. You own 8 travel books andaretaking 2 of themon vacation.ln how manywayscanyou
choose travelbooks
2 fromthe8? ,(t '1q
t"d- - r0
8 . How manydifferentwayscanyou arrange scoops a cone?
four on 4'l,a't
A4
= a1
9 . A collegehasnine instructorsqualifiedto teacha specialcomputerlab coursewhich
1 0 . Find the numberof distinguishable
permutations the lettersLUCKY.
of €l -- t tO
11 A four-person
committee chosen random
is at from a groupof l5 p"opt.. uo* /lf]
differentcommittees possible?
are -*y
t 4b ( lT /
12. From a group of six boys andfour girls, a boy anda girl will be selected atlenda
to
conference. how manypossible
ln wayscanthe selection made? f 6 /+]
- ' / d
be _ 4
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