Home
Class 12
MATHS
How many +ve integers can be formed usin...

How many +ve integers can be formed using 0,1,2 which are less than `10^n` where n is +ve integer

Text Solution

Verified by Experts

The correct Answer is:
`3^n-1`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the number of +ve integers which are less than 10^8 and 3 occurs exactly once.

Solve (x - 1)^n =x^n , where n is a positive integer.

Using 0, 1, 2, how many different +ve integers which are smaller than 2xx10^8 and divisible by 3 can be written

How many Integers are there between 9^2 and 10^2

If two consecutive terms in the expansion of (x+a)^n are equal to where n is a positive integer then ((n+1)a)/(x+a) is

Prove that 2^(n) gt n for all positive integers n.

Use Euclid division lemma to show that any positive odd integer is of the form 6q+1 or 6q+5 , where q is some integers.

Use Euclid's division lemma to show that the square of any positive integer is of the form 5n or 5n+1 or 5n+4, where n is a whole number.

Show that every postitive even integer is of the form 2q , and that every positive odd integer is of the form 2q+1 , where q is some integer.

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer.