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Dear Wadehra Bhai, You have done 79ers proud. While congratulating you on this occasion let me say that by tagging ourselves (79ers)with you as a fellow 79er, we too have become "smart scholars". Smart way of snatching some credit you say?
Ram Prabhu (grp_pabbas@rediffmail.com) SBT 1979er


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Puzzle # 14 Fight with Eight

Fight with Eight

 

By

KT Rajagopalan

 

 

The question:

 

Prof Math E W is at it again. He tells the class: ‘You can make 6! = 6*5*4*3*2*1 = 720 six-digit numbers using each of the digits between 1 and 6 inclusively exactly one time each.’

 

He asks them for a few examples.

 

Anil calls out ‘123456 itself!’ Priya says, ‘346125’ while Siddharth says, ‘112345’ and all others cry out, ‘No, it is not such a number: 1 is repeated and 6 is not used at all!’

 

‘Okay, my question is: How many of these 6-digit numbers are divisible by 8?’

 

Anil, Shreya, Priya and Siddharth come up with the answers: 120, 72, 90 and 84 respectively.

 

Who is right, if at all? (a) Anil (b) Shreya (c) Priya (d) Siddharth (e) None 

 

Would you like a hint?

 

 

1


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