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Q.

STATEMENT  1:    Six boys and six girls sit along a line alternately in x ways and along a circle  again alternately in y ways then  x-12y=0

STATEMENT  II:    Number of different ‘6’ digit numbers  whose sum of digits to be odd is x (repetition are allowed) and  Number of different ‘6’  digit number whose sum of digits to be even is y( repetition are allowed) then x-y=0
 

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a

Both statement-1 and statement –II  are true

b

Both  statement -1 and statement –II are false      

c

Statement -1 true Statement-II false

d

Statement-I false  Statement –II  true

answer is A.

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Detailed Solution

S: I :  x=2×6!.6!&y=5!.6!xy=12
S=II.  9_10_10_10_10_10_
 9×105245×104=x=y
 

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