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Question

Let m and n be 2 digit numbers.  The number of pairs (m,n) such that n can be subtracted from m without borrowing is


  1. 2425

  2. 2450

  3. 2475

  4. 2350


Solution

The correct option is C

2475


         

a c b d (a,c)pairs=1+2+9=451 1 0 0 (b,d)pairs=1+2+3++10=553 1,2,3 2 0,1,2. .. .. .9 1,29 0,1,9 Total=45×55)

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