NIMCET 2014 Question Paper with solutions

Question : 34 of 120

Marks: +1, -0

Suppose r integers, 0 < r < 10, are chosen from (0, 1, 2 , .., 9) at random and with replacement. The probability that no two are equal, is

Solution:

We have,
0, 1,2, .... 9
Total number of digits = 10
Now, total number of ways when r integers are taken from these digits, is

↖{10}C_r

∴ Required probability =

{10!}/{10'(10-r)!}

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