There are 3 candidate for a Mathematics, 5 for chemistry and 4 for a Physics scholarship. In how many ways can the scholarship be awarded.
How many three-digits number can be formed without using the digits 0,1,2,3,7,9,?
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How many numbers are there between 1000 and 2000 such that even' digit is either 0, or 1, or 2?
How many numbers are there between 2000 and 20000 such that 2 is in the unit place.
How many number are there between 100 and 1000 such that at least one of their digit is 3?
From 7 English and 4 American a committee of 6 is to be formed which contains at least two American. The number of ways in which this committee can be formed is :
The number of ways in which an arrangement of 4 letters of the word ‘PROPORTION’ can be made is :
Total number of positive integral solution of x + y + z = 24 is :
Total number of non-negative integral solution of
x + y + z + I = 15
The number of ways in which 15 coins, not distinguishable from one another may be divided among 4 person, so that no one may have less than three coins is :
Total number of integral solution of the equation
x1 + x2 + x3 = 15, where x1 ≥1, x2 ≥ 3, x3 ≥ 0 is :
How many integral solution are there to the system of equation x1 + x2 + x3+ x4 + x5 = 20 and x1 + x2 + x3 = 5, where xk ≥ 0;
The number of non-negative integral solution of
x1 + x2 + x3 + 3x4 = 18 is
The number of ways in which thirty-five apples can be distributed among 3 boys, so that each car. have any number of apple is :
Number of ways in which Rs. 22 can be distributed among four persons such that a first-person get less than Rs. 3 and second person gets multiple of Rs. 4 is:
The total number of four digit numbers formed from the digit 0,3,4,5,6,9 such that even digits are placed on even place is - (Any digit will not be repeated)
How many four digit numbers which are divisible by 4 can be formed from the digit 1,2,3,4 and 5? (Any digit may be repeated)
Six person entered the lift cabin on ground floor of an 7-floor house. Suppose each of them can leave the cabin independently at any floor beginning with the first. The total number of ways in which each of the six person can leave the cabin at any one of the 6-floors.
. How many numbers are there between 1000 and 4000 which have exactly one of their digit as 3?
How many numbers are there between 400 and 1000 such that atleast one of their digit 3?
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