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Entries in a particular lottery game are made up of three digits, each 29 Apr 2019, 04:45
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65% (hard)

Question Stats:

50% (01:33) correct 50% (01:30) wrong based on 393 sessions

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Entries in a particular lottery game are made up of three digits, each 0 through 9. If the order of digits in the entries matters, how many different possible entries exist in which all three digits are not equal?

A. 516
B. 720
C. 989
D. 990
E. 1321
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D
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Entries in a particular lottery game are made up of three digits, each Updated on: 30 Apr 2019, 02:32
Originally posted by Archit3110 on 29 Apr 2019, 08:20.
Last edited by Archit3110 on 30 Apr 2019, 02:32, edited 1 time in total.
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Bunuel
Entries in a particular lottery game are made up of three digits, each 0 through 9. If the order of digits in the entries matters, how many different possible entries exist in which all three digits are not equal?

A. 516
B. 720
C. 989
D. 990
E. 1321
Show more


all three no; 10*10*10 ; 1000
and total such no which have all three digits as same; 10
different entries ; 1000-10 ; 990
IMO D
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Entries in a particular lottery game are made up of three digits, each 29 Apr 2019, 20:23
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How is it 990 ?

Could someone help pls .

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Entries in a particular lottery game are made up of three digits, each Updated on: 29 Apr 2019, 20:39
Originally posted by sach24x7 on 29 Apr 2019, 20:33.
Last edited by sach24x7 on 29 Apr 2019, 20:39, edited 1 time in total.
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m1033512
How is it 990 ?

Could someone help pls .

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GMAT TRICK- question says all the entries in which all three digits are not equal means 10 possibilities of three equal digits out of 10*10*10 =1000 are not to be taken.
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Entries in a particular lottery game are made up of three digits, each 29 Apr 2019, 20:36
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Bunuel
Entries in a particular lottery game are made up of three digits, each 0 through 9. If the order of digits in the entries matters, how many different possible entries exist in which all three digits are not equal?

A. 516
B. 720
C. 989
D. 990
E. 1321


all three digits order matter
so
10*9*8 ; 720
IMO B
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Hi,

In your calculation, you are considering the digits can be used once. Question says you can use digits only all three should not be equal.

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Entries in a particular lottery game are made up of three digits, each 29 Apr 2019, 20:50
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ohkay ,

I missed to understand that the two same digits are allowed .

and the concept is to calculate all - number with 3 same digits

so it is 1000 - 10 = 990

understood

Thanks

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Entries in a particular lottery game are made up of three digits, each 09 Aug 2020, 10:18
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Bunuel
Entries in a particular lottery game are made up of three digits, each 0 through 9. If the order of digits in the entries matters, how many different possible entries exist in which all three digits are not equal?

A. 516
B. 720
C. 989
D. 990
E. 1321
Show more

Solution:

There are a total of 10 x 10 x 10 = 1000 entries of the lottery game, and only 10 of them have all three digits that are equal: 000, 111, 222, …, 999. Therefore, 1000 - 10 = 990 entries exist in which all three digits are not equal.

Answer: D
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Entries in a particular lottery game are made up of three digits, each 05 Mar 2026, 21:12
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Identify that there are 10 ways for each digit, so we have 10 * 10 * 10 = 1000. Only 10 possible numbers have all digits the same (111, 222, 333, 444, 555, 666, 777, 888, 999, and 000). Thus, we do 1000 - 10 = 990 to get to our answer.
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