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MHT CET2012MathematicsPermutation and Combination

If the four positive integers are selected randomly from the set of positive integers, then the probability that the number 1,3,7 and 9 are in the unit place in the product of 4 -digit, so selected is

Options

  1. A7 625
  2. B2 5
  3. C5 625
  4. D16 625

Correct answer

D. 16 625

Step-by-step solution

The number of digits on unit place of any number =10 n(S)=10 The necessary condition for becoming the digits 1,3,5 or 7 at the unit place of product of four numbers that the digits 1,3,5 or 7 at unit place of every number. array ll & n(A)=4 & P(A)= 4 10 = 2 5 array So, required y= ( 2 5 )⁴= 16 625

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