[72₂ – 28₂ = 50x]

= (72 + 28)(72 - 28) = 50x

= 100 * 44 = 50x

x = 88

P(never seat together)=1-P(seat together) CIRCULAR PERMUTATION=(n-1)! =7! A and B can interchange their positions in 2! ways. the no. of favourable cases is (n-2)! 2 ! =6 ! 2 ! P(seat together)= 6! 2 ! / 7! =6! 2!/ 7 .6 ! =2!/7 =2/7 P(never seat together)=1- (2/7) =(7-2) / 7 =5/7

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30/5= 6 ; 6/5=1;

Adding the quotients, its 6+1=7

So highest power of 5 in 30! = 7

Step 1== 288*10 Step 2== 144*2*2*5 Step 3== 12*12*2*2*5 if perfect square===12*12*2*2*5*5 So answer is 5 we have to multiply it by 5 to make it as a perfect square.

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Original total cost=3496; but he got for 2999; loss is 14% that is ans: 0.14

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