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Algebra

Blazing goIITian

 Joined: 12 Apr 2008 Post: 424
21 May 2009 12:30:47 IST
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d no. of ways in whibh we can get a score of 11 by throwing 3 dice is
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Algebra

d no. of ways in whibh we can get a score of 11 by throwing 3 dice is

Blazing goIITian

Joined: 7 May 2007
Posts: 1724
21 May 2009 13:06:22 IST
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DICE 1:                                            DICE 2:                                                          DICE 3:

1                                                        4                                                                     6

1                                                        5                                                                      5

1                                                         6                                                                     4

2                                                         3                                                                    6

2                                                          4                                                                    5

2                                                         5                                                                      4

2                                                         6                                                                      3

3                                                        2                                                                       6

3                                                          3                                                                        5

3                                                           4                                                                      4

3                                                            5                                                                      3

3                                                              6                                                                    2

SIMILARLY,   6 WAYS, WITH 4 ON DICE 1, 5 WAYS, WITH 5 ON DICE 1, 4 WAYS, WITH 6 ON DICE 1.

SO, TOTAL WAYS = 3+4+5+6+5+4 = 27.

Blazing goIITian

Joined: 13 Aug 2008
Posts: 1313
21 May 2009 21:31:37 IST
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Use Multinomial Theorem

Blazing goIITian

Joined: 13 Aug 2008
Posts: 1313
21 May 2009 21:31:59 IST
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i mean click on the white box with a red cross on it

Hot goIITian

Joined: 2 May 2009
Posts: 194
22 May 2009 00:43:49 IST
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i salute kapil's patience...dunno if he's right or wrong, though!

Blazing goIITian

Joined: 24 Dec 2007
Posts: 1111
22 May 2009 01:30:02 IST
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If you're a computer science student, U can also do it using in C as well!! (Yeah I know this is kinda ridiculous, but what the heck)

#include<stdio.h>
#include<conio.h>
#include<conio.h>
int main()
{
int a,b,c,d=0;
system("cls");
for(a=1;a<=6;a++)
{
for(b=1;b<=6;b++)
{
for(c=1;c<=6;c++)
if(a+b+c==11)
{                         printf("%d %d %d\n",a,b,c);
d++;
}}}
printf("Hence the total number of pairs is %d",d);
return(0);
}

As Kapil has shown U get the output as 27 Pairs (3+4+5+6+5+4 = 27)!! chk it out yourself!!

cheers!! :)

Blazing goIITian

Joined: 13 Aug 2008
Posts: 1313
25 May 2009 12:08:55 IST
1 people liked this

Blazing goIITian

Joined: 12 Apr 2008
Posts: 424
25 May 2009 19:03:06 IST
0 people liked this

thanx bro

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