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You are given a 4×4 square Board and you need to fill it with Red and Blue colors such that there are exactly two blue boxes and two red boxes in each row and column. In how many ways is it possible to fill the colors in 4×4 square Board.
A. 12
B. 45
C. 48
D. 90
E. 96
A. 12
B. 45
C. 48
D. 90
E. 96
yashikaaggarwal
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08 Mar 2020, 05:42
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nick1816
You are given a 4×4 square Board and you need to fill it with Red and Blue colors such that there are exactly two blue boxes and two red boxes in each row and column. In how many ways is it possible to fill the colors in 4×4 square Board.
A. 12
B. 45
C. 48
D. 90
E. 96
A. 12
B. 45
C. 48
D. 90
E. 96
Can you send it's solution?
Posted from my mobile device
the first row can be arranged in number of ways= 4C2= 6
after first step...first column can be arranged in = 3C2 ways = 3
It's obvious upto now....What's interesting is to arrange rest 3 by 3 matrix.
it's (1+2*2). (try to find it)
Total number of ways= 6*3*5= 90
Can you send it's solution?
Posted from my mobile device
after first step...first column can be arranged in = 3C2 ways = 3
It's obvious upto now....What's interesting is to arrange rest 3 by 3 matrix.
it's (1+2*2). (try to find it)
Total number of ways= 6*3*5= 90
yashikaaggarwal
nick1816
You are given a 4×4 square Board and you need to fill it with Red and Blue colors such that there are exactly two blue boxes and two red boxes in each row and column. In how many ways is it possible to fill the colors in 4×4 square Board.
A. 12
B. 45
C. 48
D. 90
E. 96
A. 12
B. 45
C. 48
D. 90
E. 96
Can you send it's solution?
Posted from my mobile device
