How many permutations of 3 digits are there chosen from the ten digits 0 to 9 inclusive?

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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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How many permutations of 3 different digits are there chosen from the ten digits 0 9 inclusive?

So there would be 10 x 9 x 8 = 720 possible choices.

How many 3

Therefore, in 1000 arrangements 3 digits can be formed from the digits 0 through 9.

How many permutations of 3 digits are there?

There are 504 different 3-digit numbers which can be formed from numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 if no repetition is allowed.

How many 3

Hence, 999 is the 900th term of the sequence i.e. there are 900 three digit numbers.