Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 4 dice are rolled once, the number of ways of getting the sum as 10 is K, then the value of 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
8
x 1 + x 2 + x 3 + x 4 = 10; 1 
x i 
6
The desired number is the coefficient of x 10 in
(x + x 2 + ...+x 6 ) 4 =x 4 (1+x+…+x 5 ) 4
or the coefficient of x 6 in (l + x + x 2 + . . . + x 5 ) 4
or the coefficient of x 6 in (1 - x) 4 - 4 xcoefficient of x 0 in (1- x) -4
= 6+4-1 C 4-1 - 4 x 0+4-1 C 4-1
= 9 C 3 - 4 x 1 = 
-4= 84 - 4 = 80
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