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{\color{red} {\color{red} 1 }} The members of a club took part in a round robin competition in which each player plays every one else once . All the members scored the same no of points exept 4 juniors whose total score was 17.5
How many members were there in the club ? [Assume each player scores 1 point for win , 1/2 point for draw and 0 points for losing .]
{\color{green} 2} How many 15 letter arrangements of 5 A's 5 B's 5 C's have no A's in the first 5 letters , no B's in the next 5 letters and no C's in the next 5 letters
{\color{blue} 3} In how many different ways can 15 candy be distributed among TOM , JERRY , MICKEY & DONALD , if TOM can't have more than 5 candy bars and JERRY must have atleast 2 {Assume all candy bars to be alike }
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2 Answers
Question 3 is another case of multinomial expansion
coeff of x^15 in
(1+x+x^2+x^3+x^4+x^5)(x^2+x^3......)(1+x+x^2.....)2