Analytical - How many 10 digit numbers are there whose sum of the digits is the number 4

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Analytical | Question 7 of 135

How many 10 digit numbers are there whose sum of the digits is the number 4

Total Answers and Comments: 10

Last Update: May 27, 2008

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June 15, 2005 08:29:09

Priya

RE: How many 10 digit numbers are there whose sum of the digits is the number 4

13 31 40 22 so totally 4 ten digit numbers are there

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June 29, 2005 02:58:51

coco

RE: How many 10 digit numbers are there whose sum of the digits is the number 4

and 211 112 121 1021 if I can use 0 there are too many numbers to count.

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July 20, 2005 09:43:27

abhelaksh

RE: How many 10 digit numbers are there whose sum of the digits is the number 4

we have to make 10 digit nos using three cases:
4 and rest all zeros 1
1 3 and rest all zeros 9+9
2 1 1 and rest all zeros 36+.....
2 2 and rest all zeros 9
1 1 1 1 and rest all zeros 6 raised to par 4 1296

then calculate the individual permutations for each case as shown above to get answer more than 1360

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August 17, 2005 04:50:21

krishnamurari

RE: How many 10 digit numbers are there whose sum of the digits is the number 4

I think that for four 1's to be in the 10 digit no. the answer should be

9c3 9*8*7/(3*2*1) 84

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August 17, 2005 04:50:21

krishnamurari

RE: How many 10 digit numbers are there whose sum of the digits is the number 4

I think that for four 1's to be in the 10 digit no. the answer should be

9c3 9*8*7/(3*2*1) 84

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September 01, 2005 03:16:54

Bhavik R Domadia

RE: How many 10 digit numbers are there whose sum of the digits is the number 4

The smallest 10 digit number is 1000000000 and the largest is 9999999999 and its difference is 8999999999. now dividing this number by 9 ( as there are 9 numbers from 1 to 9 ) the result is 999999999.89 .... hence 999999999 or 1000000000 seems to be the possible two answers ....

because according to numerology ....

Total of all digits of 1000000003 is 4

Similarly Total of all digits of 9999999994 is 4 because when you add 9 any number n sum up its digits .... the total will be same .... so 9 doesnt have any significance .... as the result will be same if u add 9 or not

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September 27, 2005 02:42:25

Prasanna

RE: How many 10 digit numbers are there whose sum of t...

Considering that the sum 4 can be divided as follows:

Possibilities
4 1
3 1 18
2 2 18
2 1 1 3 * (9c2) 3 * (9 * 8/1 * 2) 3 * 36 108
1 1 1 1 4 * (9c3) 4 * (9 * 8 * 7/1 * 2* 3) 84
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229
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This can be the answer provided the sum determined from adding patterns like 9 + 4 13...again 1 + 3 4 are not considered.

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January 02, 2007 05:51:32

sandeep

RE: How many 10 digit numbers are there whose sum of t...

the answer is 220 .... prasanna is almost rt except for 2 2 for which the total number would be 9 and not 18 ... otherwise he is rt

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March 19, 2007 21:03:31

Marcus Uranus

RE: How many 10 digit numbers are there whose sum of t...

10 digit numbers whose sum is 4

1 1 1 1
10*9*8*7/4 1260

1 1 2
10*9*8/3 240

13
10*9 90

2 2
10*9/2 45

4
10

1645

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May 27, 2008 06:04:46

#10

vanga.shruthi

Member Since: May 2008 Contribution: 1

RE: How many 10 digit numbers are there whose sum of the digits is the number 4

1 1 1 1-> 10*9*8*7/4 1260
1 1 2 -> 10*9*8/2 360
1 3 ->10*9 90
2 2 ->10*9/2 45
4 ->10 10

total 1765

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