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Question

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 4digit, so selected is

A
7625
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B
25
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C
5625
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D
16625
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Solution

The correct option is D 16625
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.
n(A)=4

P(A)=410=25

So, required probability =(25)4=16625

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