Ask your own question, for FREE!
Mathematics 47 Online
OpenStudy (anonymous):

12) How many numbers greater than 100 and less than 10 000 may be formed using the digits 2, 3, 4 and 5 if each digit may be used more than once?

OpenStudy (theviper):

ummm Infinite I m not sure

OpenStudy (anonymous):

See, the number greater than 100 and less than 1000 will have how many digits in each number??

OpenStudy (anonymous):

need at least 3 digits.

OpenStudy (anonymous):

use permutations

OpenStudy (anonymous):

Not Atleast Exactly 3.. Because if it has 4 then the number will become 1000.. And we have to ding the numbers between 100 and 1000 but not including 100 and 1000.. Getting??

OpenStudy (anonymous):

find in place of ding sorry..

OpenStudy (anonymous):

the numbers can contain either 3 or 4 digits right?

OpenStudy (anonymous):

but four digits can be 2345, 2354, 3245, etc.

OpenStudy (anonymous):

still above 100 and under 1000.

OpenStudy (anonymous):

not under 1000, its 10000

OpenStudy (anonymous):

Oh sorry I interpreted the question wrong.

OpenStudy (anonymous):

10000*

OpenStudy (anonymous):

Yes.. It can be of 3 and it can be of 4..

OpenStudy (anonymous):

So firstly we find for 3 digits number that is : 101 to 999 Now tell me about the hundredths place?? 101 has 1 as its hundredth place.. it can be 2, 3. 4, 5 , 6 , 7 , 8, 9.. But we have to find the numbers containing 2, 3, 4 and 5 So hundredth place can take 2, 3, 4 and 5... 4 ways.. Getting??

OpenStudy (anonymous):

so, in case 1: count the number of 3 digit numbers. |dw:1342866076650:dw| each place can take up 4 digits. so, number of possibilities is 4*4*4. in case 2: count the number of 4 digit numbers. |dw:1342866179490:dw| each place can take up 4 digits. so, number of possibilities is 4*4*4*4.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
SsTDOGRednek: How many x and y chromosomes do we have? I forget...
2 hours ago 5 Replies 2 Medals
SsTDOGRednek: What Element is I?
4 hours ago 3 Replies 1 Medal
SsTDOGRednek: What is the compound I?
4 hours ago 7 Replies 1 Medal
danielfootball123: HAPPY EASTER!!!!
2 hours ago 25 Replies 3 Medals
ShadowKid3: I drew Leon again (used suggestions from last art post) so Leon v2 :D
21 hours ago 4 Replies 0 Medals
Puck: for all you amazing people
4 hours ago 4 Replies 2 Medals
Breathless: update on drawing.
1 day ago 12 Replies 5 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!