If `n_1` and `n_2` are five-digit numbers, find the total number of ways of forming `n_1` and `n_2` so that these numbers can be added without carrying at any stage.

n_1a n dn_2 are four-digit numbers, find the total number of ways of forming n_1a n dn_2 so that n_2 can be subtracted from n_1 without borrowing at any stage.

Find the total number of way in which n distinct objects can be put into two different boxes

Find the number of ways in which n distinct objects can be kept into two identical boxes so that no box remains empty is

Find the total number of n -digit number (n >1) having property that no two consecutive digits are same.

Find the total number of integer n such that 2lt=nlt=2000 and H.C.F. of n and 36 is 1.

The HCF of numbers of the form 2^(m) and 3^(n) is ____.

n is selected from the set {1, 2, 3,.............,100} and the number 2^n+3^n+5^n is formed. Total number of ways of selecting n so that the formed number is divisible by 4 is equal to (A) 50 (B) 49 (C) 48 (D) None of these.

Check whether 6^n can end with the digit 0 for any natural number n.