Solveeit Logo
Login

Question

Question: Number of ways in which 12 different things can be distributed in three groups is...

Number of ways in which 12 different things can be distributed in three groups is

A

12!(4!)3\frac{12!}{(4!)^{3}}

B

12!3!(4!)3\frac{12!}{3!(4!)^{3}}

C

12!4!(3!)3\frac{12!}{4!(3!)^{3}}

D

12!(3!)4\frac{12!}{(3!)^{4}}

Answer

12!4!(3!)3\frac{12!}{4!(3!)^{3}}

Explanation

Solution

Required ways = 12C4x8C4x4C43!\frac{12C_{4}x^{8}C_{4}x^{4}C_{4}}{3!} = 12!(4!)3(3!)\frac{12!}{(4!)^{3}(3!)}