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Terms in this set [12]
In how many ways can we arrange three students from a group of seven students to stand in line for a picture?
210
How many permutations of 3 different digits are there, chosen from the ten digits 0 to 9 inclusive?
720
A password consists of four different letters of the alphabet. How many different possible passwords are there?
358800
An encyclopedia has eight volumes. In how many ways can the eight volumes be replaced on the shelf?
40320
In how many ways can we arrange all five of these students in a line for a picture?
120
How many ways are there to select a first-prize winner, a second-prize winner, and a third-prize winner from 100 different people who have entered a contest?
970200
Suppose that a saleswoman has to visit eleven different cities. She must begin her trip in a specified city, but she can visit the other ten cities in any order she wishes. How many possible orders can the saleswoman use when visiting these cities?
3628800
Thirteen people on a softball team show up for a game.
How many ways are there to assign the 10 positions by selecting players from the 13 people who show up?
1037836800
Consider a group of 10 people.
How many ways are there to form a line of 5 people from the group?
30240
How many strings are there that use each character in the set {a, b, c, d, e} exactly once [i.e.
permutations of {a,b,c,d,e}] and that start with an 'a' and end with an 'e'?
6
How many strings are there that use each character in the set {a, b, c, d, e} exactly once [i.e. permutations of {a,b,c,d,e}] and that contain the sequence 'de' somewhere in the string?
24
How many 3-digit numbers [with distinct digits] can we form using digits 0,1,2,3,4,5?
100
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Verified questions
DISCRETE MATH
Construct a Turing machine that computes the function f[n] = 3 if n ≥ 5 and f [n] = 0 if n = 0, 1, 2, 3, or 4.
Verified answer
DISCRETE MATH
a] What is meant by a Bernoulli trial? b] What is the probability of k successes in n independent Bernoulli trials?
Verified answer
DISCRETE MATH
In how many different orders can five runners finish a race if no ties are allowed?
Verified answer
DISCRETE MATH
Draw the Venn diagrams for each of these combinations of the sets A, B, and C. a] A ∩ [B − C] b] [A ∩ B] ∪ [A ∩ C] c] [A ∩ B̅] ∪ [A ∩ C̅]
Verified answer
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