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A men's basketball league assigns every player a two-digit number for 11 Apr 2017, 10:51
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A men's basketball league assigns every player a two-digit number for the back of his jersey. If the league uses only the digits 1-5, what is the maximum number of players that can join the league such that no player has a number with a repeated digit (e.g. 22), and no two players have the same number?

A. 20
B. 21
C. 22
D. 24
E. 25
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A
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A men's basketball league assigns every player a two-digit number for 11 Apr 2017, 11:04
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Bunuel
A men's basketball league assigns every player a two-digit number for the back of his jersey. If the league uses only the digits 1-5, what is the maximum number of players that can join the league such that no player has a number with a repeated digit (e.g. 22), and no two players have the same number?

A. 20
B. 21
C. 22
D. 24
E. 25
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Take the task of creating different jersey numbers and break it into stages.

Stage 1: Select the first digit
There are 5 digits (1, 2, 3, 4, or 5) to choose from, so we can complete stage 1 in 5 ways

Stage 2: Select the second digit
Repeated digits are NOT ALLOWED.
So, once we select the 1st digit in stage 1, we cannot select it again.
So, there are 4 digits remaining to choose from.
We can complete stage 2 in 4 ways

By the Fundamental Counting Principle (FCP), we can complete the two stages (and thus create the 2-digit jersey numbers) in (5)(4) ways ( = 20 ways)

Answer:
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A

Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT. For more information about the FCP, watch the following videos:


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A men's basketball league assigns every player a two-digit number for 11 Apr 2017, 11:25
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A?

I did 5 * 5 and then subtracted the repeated digit numbers like 11.

So 25 - 5 = 20

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A men's basketball league assigns every player a two-digit number for 13 Apr 2017, 12:10
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Since repetation is not allowed so according to simple counting method
for place 1 5 possibilities
for place 2 4 possibility
total 20
Answer is:A
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A men's basketball league assigns every player a two-digit number for 19 Apr 2017, 16:14
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Bunuel
A men's basketball league assigns every player a two-digit number for the back of his jersey. If the league uses only the digits 1-5, what is the maximum number of players that can join the league such that no player has a number with a repeated digit (e.g. 22), and no two players have the same number?

A. 20
B. 21
C. 22
D. 24
E. 25
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We need to determine how many two-digit numbers can be created from 5 digits (1 to 5 inclusive), and no digits can be repeated. Since order matters, we have a permutation. Thus, the number of ways to create two-digit numbers is 5P2 = 5!/(5 - 2)! = !5 x 4 = 20.

Answer: A
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A men's basketball league assigns every player a two-digit number for 21 Apr 2017, 23:46
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Bunuel
A men's basketball league assigns every player a two-digit number for the back of his jersey. If the league uses only the digits 1-5, what is the maximum number of players that can join the league such that no player has a number with a repeated digit (e.g. 22), and no two players have the same number?

A. 20
B. 21
C. 22
D. 24
E. 25
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The question is simply asking how many unique combinations are there for a basketball player numbers- the rest of the information is superfluous

For the first number there is a pool of 5 numbers and for the second numbers there is a pool of 4 numbers
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A men's basketball league assigns every player a two-digit number for 31 Dec 2022, 23:37
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Why do maximum answer should not be 50
54-4
The highest two digit number without repeating digits between 1 to 5 will be 54
Repeating number with same digits Like 11,22,33 and 44 Will be subtracted so 54-4
will be equal to 50
Means that Team can have 50 players
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