Suppose n is an integer such that the sum of the digits of n is 2 - and 1010- n -1011- The number of different values for n is -CAT 2004 A- 10B- 9C- 8D- 11

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A+B+C=N (N Varying)

Suppose n is ...

Question

Suppose n is an integer such that the sum of the digits of n is 2, and 10¹⁰ < n < 10¹¹. The number of different values for n is :(CAT 2004)

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Solution

The correct option is A 11
Option (a)
There are 11 digits in this number
When sum of digits is 2, there are 2 options
There are 2 ones, with one 1 fixed in the first position
The question in now based on the arrangement of 10 zeroes and 1 one
Number of possibilities = = 10 ways
When 2 is the first digit = one possibility.
Total number of possibilities = 11

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Suppose n is an integer such that the sum of the digits of n is 2, and 1010 < n < 1011. The number of different values for n is :(CAT 2004)

Suppose n is an integer such that the sum of the digits of n is 2, and 10¹⁰ < n < 10¹¹. The number of different values for n is :(CAT 2004)