VITEEE sample problem

IN HOW MANY WAYS CAN 10 STUDENTS BE DIVIDED INTO THREE TEAMS SO THAT ONE TEAM CONTAINS 4 STUDENTS AND THE OTHER TWO TEAMS CONTAIN 3 STUDENTS EACH.....

(I FORGOT THE OPTIONS, SORRY)

4 Answers

62
Lokesh Verma ·

10C4 x 6 C 3 x 3C3 x 3!

?

24
eureka123 ·

10!/4!3!3!......

24
eureka123 ·

using if m+n+p objects divided into 3 groups containing m,n,p objects respectively
=>m+n+pCmn+pCnpCp
=>(m+n+p)!/m!n!p!

11
Anirudh Narayanan ·

Why not

^{10}C_4.\; ^6C_3^.\; ^3C_3\; +\; ^{10}C_3.\; ^7C_4^.\; ^3C_3\; +\; ^{10}C_3.\; ^7C_3^.\; ^4C_4

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