Number of four-digit numbers of the form `N=a b c d` which satisfy following three conditions (i) `( i i ) (iii) 4000lt=N<6000 (iv)` (v) (vi) `( v i i ) N (viii)` (ix) is a multiple of 5 (x) `( x i ) (xii)3lt=b

Express of the complex number in the form a + i b . i + i

The number of three digit numbers of the form xyz such that x lt y , z le y and x ne0 , is a ) 240 b) 244 c) 276 d) 285

The total number of five-digit numbers of different digits in which the digit in the middle is the largest is a. sum_(n_4)^9 (n) P_4 b. 33(3!) c. 30(3!) d. none of these

Let a_(n) denote the number of all n-digit numbers formed by the digits 0,1 or both such that no consecutive digits in them are 0. Let b_(n) be the number of such n-digit integers ending with digit 1 and let c_(n) be the number of such n-digit integers ending with digit 0. Which of the following is correct ?

Let a_(n) denote the number of all n-digit numbers formed by the digits 0,1 or both such that no consecutive digits in them are 0. Let b_(n) be the number of such n-digit integers ending with digit 1 and let c_(n) be the number of such n-digit integers ending with digit 0. Which of the following is correct ?

Let a_(n) denote the number of all n-digit numbers formed by the digits 0,1 or both such that no consecutive digits in them are 0. Let b_(n) be the number of such n-digit integers ending with digit 1 and let c_(n) be the number of such n-digit integers ending with digit 0. Which of the following is correct ?

If a,b,c ,d are four distinct numbers such that : a + c = 2d and b + d =2c , Which of the following is the correct expression for the average of the four numbers ?

Find the number of complex numbers which satisfies both the equations |z-1-i|=sqrt(2)a n d|z+1+i|=2.

Find te number of words formed by the letters of the word DELHI which i. begin with D ii. end with I iii. The letter L being always in the middle iv. begin with D and end with I.

If N = 10800, find the(i) the number of divisors of the form 4m +2,(ii) the number of divisors which are multiple of 10(iii) the number of divisors which are multiple of 15.