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If a, b, c are three natural numbers in AP and a+b+c=21, then the possible number of values of the ordered triplet a,b,c is

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Important Questions on Permutation and Combination

EASY
JEE Advanced
IMPORTANT
If a, b, c, d are odd natural numbers such that a+b+c+d=20, then the number of values of the ordered quadruple a,b,c,d is
EASY
JEE Advanced
IMPORTANT
The number of integers greater than 6000 that can be formed, using the digits 3, 5, 6, 7 and 8 without repetition, is
EASY
JEE Advanced
IMPORTANT
Let A and B be two sets containing 2 elements and 4 elements, respectively. The number of subsets of A×B having 3 or more elements, is
EASY
JEE Advanced
IMPORTANT
The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball, is
EASY
JEE Advanced
IMPORTANT
There are 10 points in a plane, out of these 6 are collinear. If N is the number of triangles formed by joining these points, then
EASY
JEE Advanced
IMPORTANT
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 random and then transferred to the other. The number of ways in which this can be done is
EASY
JEE Advanced
IMPORTANT
From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on the shelf so that the dictionary is always in the middle. Then, the number of such arrangements is
EASY
JEE Advanced
IMPORTANT
How many different words can be formed by jumbling the letters in the word 'MISSISSIPPI' in which no two S are adjacent?