Question

there are 4 balls of 4 different colours and 4 boxes of the same 4 colour how many possible combinations are there if no ball is to be in their original coloured box

Answer 1

Dear student

Let the 4 balls be of colors red, blue, green and yellow R,B,G and Y
and the four boxes be of the same four color R,B,G and Y

Total number of ways in which 4 balls can be placed in them will be factorial of 4=24
as of pattern
RBGY, RBYG.RYGB,RYBG,RGYB.RGBY
six for starting with R
four colors, so 24 ways

of 24, there will be only one cases, when balls of same color are in same color box

remaining ways = 24-1=23

Regards