Permutation and CombinationHard
Question
Number of ways in which 3 persons throw a normal die to have a total score of 11, is
Options
A.27
B.25
C.29
D.18
Solution
Using multinomial theorem
Find the co-efficient of x11 in the expansion
(x + x2 + x3 + .......+ x6)3
= x3 (1 - x6)3.(1 - x) - 3 is
= 10C8 - 3 . 4C2 = 45 - 18 = 27
Find the co-efficient of x11 in the expansion
(x + x2 + x3 + .......+ x6)3
= x3 (1 - x6)3.(1 - x) - 3 is
= 10C8 - 3 . 4C2 = 45 - 18 = 27
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