In a high school, a committee has to be formed from a group of 6 boys M _ 1 , M _ 2 , M _ 3 , M _ 4 , M _ 5 , M _ 6 and 5 girls G _ 1 , G _ 2 , G _ 3 , G _ 4 , G _ 5 . (i) Let α _ 1 be the total number of ways in which

Question

Quantrex Academy · Accepted Answer

Correct answer: A. a-s;b-u;c-t;d-q;

(1) α _ 1 = ( array ll 6 3 array )( array ll 5 2 array ) = 200 So P → 4 (2) α _ 2 = ( array ll 6 1 array )( array ll 5 1 array ) + ( array ll 6 2 array )( array ll 5 2 array ) + ( array ll 6 3 array )( array ll 2 3 array ) + ( array ll 6 4 array )( array ll 5 4 array ) + ( array ll 6 5 array )( array ll 5 5 array ) = ( array ll 11 5 array ) - 1 = 461 So Q → 6 (3) α _ 3 = ( array ll 5 2 array )( array ll 6 3 array ) + ( array ll 5 3 array )( array ll 6 2 array ) + ( array ll 5 4 array )( array ll 6 1 array ) + ( array ll 5 5 array )( array ll 6 0 array ) = ( array ll 11 5 array ) - ( array ll 5 0 array )( array ll 6 5 array ) - ( array ll 5 1 array )( array ll 6 4 array ) = 381 So R → 5 (4) α _ 2 = ( array ll 5 2 array )( array ll 6 2 array ) - ( array ll 4 1 array )( array ll 5 1 array ) + ( array ll 5 3 array )( array ll 6 1 array ) - ( array ll 4 2 array )( array ll 1 1 array ) + ( array ll 5 4 array ) = 189 So S → 2

LIST-I	LIST-II
A. The value of ${\alpha}_{1}$ is	P. $136$
B. The value of ${\alpha}_{2}$ is	Q. $189$
C. The value of ${\alpha}_{3}$ is	R. $192$
D. The value of ${\alpha}_{4}$ is	S. $200$
	T. $381$
	U. $461$

In a high school, a committee has to be formed from a group of 6...

Options

Correct answer

Step-by-step solution

More from Permutation and Combination