Sunday, January 27, 2008

GRE MATH PROBLEM OF THE DAY

The number of five 5-digit telephone numbers having at least one of their digits repeated is
A) 90000
B) 10000
C) 30240
D) 69760
E) None of these

16 comments:

Unknown said...

D is d ans i got

Nisha said...

it seems to b 69760...
is it right?

Nisha said...

it seems to b 69760...
is it right?

Anonymous said...

it seems to b 69760...
is it right?

Anonymous said...

hey... u r ryt.. the answer id 69760

Atul Ingle said...

It's 10^5 - 10x9x8x7x6

Natural Dental Care said...

atul how is it 10^5?
they say repeat only 1ce?
it should be 69760

superindia said...

can u explain in detail. i am unable to catch it

Anonymous said...

here the logic is appllied of permutation combination 10^5 means at every digit there are 10 possibilities like there are five digit A B C D E every digit having 10 possibilities and we sustract from 10^5 are 10*9*8*7*6 because these digits having no repetation hence the result is that if we do 10^5-10*9*8*7*6 then we get the result 69760 means these are number in which atleast one digit would be repeated...........Kuldeep

Anonymous said...

Number of digits=5
Max possibilities for each digit= 10 (from 0 to 9)

Max possible numbers from 5 digits= 10x10x10x10x10=10^5.....(1)

Max Possible numbers in which there is not a single reptition=
10x9x8x7x6.................(2)

If you will subtract (2) from (1), you will get the max numbers of 5 digits which have atleast one repetion.

10^5-10x9x8x7x6=69760

Abhishek

MK said...

the questions said : "The number of five 5-digit telephone numbers having at least one of their digits repeated is"..

at least one of the digits repeated means it can have more than one digit repeated...
so the anwser would be

9*10*10*10*10 = 90000

5th place can be filled with all digits except zero so 9..and the following places can be filled with any of the 10 digits..

Amran said...

meghna said that, first place cant b filled with zero, but telephone number can be filled with zero cause zero is correct for telephone number.

I am going for a professional to solve this critical problems.

Anonymous said...

D is correct 10^5

Anonymous said...

Why are 10,9,8,7,6 the numbers that are not repeated?

Anonymous said...

Why are 10,9,8,7,6 the numbers that are not repeated?

Anonymous said...

Why are 10,9,8,7,6 the numbers that are not repeated?