Permutations and Combinations
The number of integers greater than 6,000 that can be formed, using the digits 3,5,6,7and8, without repetition, is :
Among the 8! [permutations of the digits 1, 2, 3..., 8, consider those arrangements which have the following property. If we take any five consecutive positions the product of the digits in these positions is divisible by 5. The number of such arrangements is equal to a. 7! b. 2.(7!) c. 7C4 d. none of these
There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is (A) 116 (B) 120 (C) 117 (D) none of these
How many 4-digit numbers can be formed by using the digits 1 to 9 if repetition of digits is not allowed?
If the different permutations of all the letter of the word EXAMINATION are listed as in a dictionary; how many words are there in this list before the first word starting with E?
Statement 1: The number of positive integral solutions of abc=30 is 27. Statement 2: Number of ways in which three prizes can be distributed among three persons is 33
The number of five-digit numbers that contain 7 exactly once is a. (41)(93) b. (37)(93) c. (7)(94) d. (41)(94)
It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible ?