Quiz: counting rules 20 Q
a hamburger can be ordered in three different sizes, with six different toppings, on four different rolls. The number of different hamburgers (options) that could be ordered can be computed from
(3)*(6)*(4)
a statistics department has ten faculty members. If each person has their own office, the number of ways in which the offices can be assigned may be computed from
10!
the number of ways 5 workers could be selected from 100 workers for an early lunch would be computed from
100!/5!95!
The number of combinations of 6 items taken 4 at a time =
15
the number of ways that 3 flavors of ice cream could be selected from 15 flavors would be computed from
15!/3!12!
The number of permutations of 6 items taken 4 at a time, is how many times larger than the numbers of combinations of 6 items taken 4 at a time?
24
If a coin is tossed 5 times, the number of different outcomes would be computed from
2^5 (2 to the 5th power)
The number of permutations of 6 items taken 4 at a time =
360
suppose that a personal computer system contains choices petaining to memory size (4 sizes), hard disc size (3 sizes), monitor size (2 sizes), and printer type (2 types, the number of different "systems" can be computed from
4*3*2*2
If a die is tossed three times, the number of different outcomes would be computed from
6^3 (6 to the power of 3)
there are 7 students graduating this semester who are majoring in statistics. the number of ways in which these students can be ranked in terms of performance can be computed from
7!
the number of ways 8 cars can be lined up at a toll booth would be computed from
8!
the number of ways that 8 people could be seated around the table would be computed from
8!
The number of ways of selecting "r" objects from "n" objects, irrespective of order, is referred to as
combinations
What counting rule is used to determine the number of ways in which a subset of the entire group of objects can be arranged in order?
permutation rule
The number of ways of selecting and arranging "r" objects selected from "n" objects, in order, is referred to as
permutations
The number of combinations is smaller than the number of permutations by what amount?
r!
The number of permutations is larger than the number of combinations by what amount?
r!
What counting rule involves the computation of the number of ways that a set of objects can be arranged in order?
the n factorial rule : (n!)
If an experiment has "x" possible outcomes and you repeat the experiment "n" number of times, the total number of possible outcomes is
x^n ("x to the nth power")
