Mathematics questions
18011 published questions with worked solutions.
- If 1 ^4C_n = 1 ^5C_n + 1 ^6C_n , then n is equal to
- The number of permutations of 4 letters that can be made out of the letters of the word EXAMINATION is
- A three digit number n is such that the last two digits of it are equal and differ from the first. The number of such n's is
- S_1,S_2, ,S_ 10 are the speakers in a conference. If S_1 addresses only after S_2, then the number of ways the speakers address is
- There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at...
- Everybody in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of persons in the...
- Number of divisors of the form (4n+2), n 0 of the integer 240 is
- If ^nP_r=30240 and ^nC_r=252, then the ordered pair (n,r) is equal to
- At an electron, a voter may vote for any number of candidates not greater than the number to be elected. There are 10 candidates...
- The number of ways in which 9 persons can be divided into three equal groups is
- Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from those 8...
- There is a set of m parallel lines intersecting a set of another n parallel lines in a plane. The number of parallelograms...
- Let l_1 and l_2 be two lines intersecting at P. If A_1,B_1,C_1 are points on l_1 and A_2,B_2,C_2,D_2,E_2 are points on l_2 and if...
- The number of words which can be formed the letters of the word MAXIMUM, if two consonants cannot occur together, is
- In how many ways n books can be arranged in a row so that two specified books are not together?
- If 2 9! + 2 3! ,7! + 1 5! ,5! = 2^a b! , where a,b N, then the ordered pair (a,b) is
- An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only...
- Sum of all the odd divisors of 720 is
- The number of divisors of 9600 including 1 and 9600 are
- If a,b,c,d,e are prime integers, then the number of divisors of ab^2c^2de excluding 1 as a factor is