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

The number of four-digit numbers that can be made with the digits 1, 2, 3, 4, and 5 in which at least two digits are identical is a. 4^5-5! b. 505 c. 600 d. none of these

The sum of all four-digit numbers that can be formed by using the digits 2, 4, 6, 8 (when repetition of digits is not allowed) is a. 133320 b. 5333280 c. 53328 d. none of these

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

Find the number of n digit numbers, which contain the digits 2 and 7, but not the digits 0, 1, 8, 9.

The number of n digit numbers which consists of the digit 1 and 2 only if each digit is to be used atleast once is equal to 510, then n is equal to ________.

The number of n digit number formed by using digits {1,2,3} such that if 1 appears, it appears even number of times, is

The number of distinct natural numbers up to a maximum of four digits and divisible by 5, which can be formed with the digits 0, 1 , 2, 3, 4, 5, 6, 7, 8, 9 each digit not occurring more than once in each number, is a. 1246 b. 952 c. 1106 d. none of these

An n-digit number is a positive number with exactly n Nine hundred distinct n-digit numbers are to be formed using only the three digits 2, 5, and 7. The smallest value of n for which this is possible is (a) 6 (b) 7 (c) 8 (d) 9

A student appears for tests I, II and III. The student is considered successful if he passes in tests I, II or III or all the three. The probabilities of the Student passing in tests I,II and III are m, n and 1/2 respectively. If the probability of the student to be successful is 1/2 , then which one of the following is correct? (a) m (1+n)=1 (B) n (1+m) =1 (C) m=1 (D) mn=1

Find the probability distribution of (i) number of heads in two tosses of a coin.  (ii) number of tails in the simultaneous tosses of three coins. (iii) number of heads in four tosses of a coin.