Question bank/JEE Main/Mathematics
JEE MainMathematicsModeratePermutations and Combinations
Number of ways in which AAA B B B can be placed in the squares of
the figure as shown, so that no row remains empty, is
Show answer and solution
We have to arrange A, A, A, B, B, B in the squares of the fig.
So that no row remains empty.
First of all the total no. of ways of filling 9 squares with 6 things
Now counting the ways in which any of row remain empty.
For this we have the situation when the given alphabets occupy
exactly two rows completely and this will happen in
So required number of ways in which no rows remain empty = 1680 - 60 =
So that no row remains empty.
First of all the total no. of ways of filling 9 squares with 6 things
Now counting the ways in which any of row remain empty.
For this we have the situation when the given alphabets occupy
exactly two rows completely and this will happen in
So required number of ways in which no rows remain empty = 1680 - 60 =
Source: Grass-G / M-23 Mathematics Paper 31 Dec FST.docx
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