Vogt’s
“A Little Look at Combinatorics” - continued
24.) 6P6 25.) 6P1 26.) 6P4 27.) 7C7
28.) 7C1 29.) 7C4 30.) 7C3 31.) ( 30
5 ) {should
align vertically}
32.) A box holds a dozen different colored balls,
how many ways are there to pick three of them?
33.) From a collection of twelve books a person is
to choose a favorite book, then a next favorite book, and finally the least
favorite book, how many variations are there for these selections?
34.) An ATM requires a 4 digit security code, how
many different codes are possible?
35.) Five runners (contestants) are competing in a
race, in how many ways can they finish?
36.) A license contains seven symbols consisting of
either letters or digits, how many different license plates can be made from
these symbols?
37.) From eight competitors half will be eliminated
leaving the other half as finalists, how many different ways are there to
choose the group of finalists?
38.) How many seven digit phone numbers can be made
if the first digit of the phone number cannot be either a zero or a one?
39.) Ten cards, numbered zero through nine, are
shuffled and dealt face up one at a time. Four cards are dealt to form a four
digit winning combination, if the first card is not allowed to be a zero and
the last cards is not allowed to be an odd value (or they are re-dealt) what is
the probability that my pick of 4-8-6-2 will be dealt as the winning
arrangement?
40.)
One way to win The California Lottery Mega-Millions is to correctly choose the
five numbers, out of fifty-six, that will be drawn on Saturday. What’s the
probability of a win?
{ Nb. SuperLotto is pick 5 of the
47 possibilities}
* Vogt Educational Materials
