Unlock The Lock

There are four rings in a number lock of a bag.For opening the bag a definite code is required to be set.First two rings has letters of English alphabet and other two rings has numerical digits from 0 to 9.Without repetition of alphabet letter or digit how many codes can be set?

58500 58356 67600 60840

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2 solutions

Shaikh Akhter
Apr 16, 2014

In first two rings 26 letters of alphabet can be arranged in 26×25 ways. In last two rings digits can be arranged in 10×9 ways. Totalcodes=26×25×10×9=58500

can i ask, why not 26x26?

Eric Gozon - 7 years, 1 month ago

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it said without repetiton of alphabet letter

Sophie Crane - 7 years, 1 month ago

letter should not be repeat

Shivakumar Avadhani - 7 years, 1 month ago

Here it is clearly given that repetition is not allowed.

shaikh akhter - 7 years, 1 month ago

Hello,

number of ways = (26P2)x(10P2) = 58 500...

Thanks....

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