AIEEE 2011 | Permutations and Combinations Question 161 | Mathematics

Statement - 1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is emply is $${}^9{C_3}$$.
Statement - 2: The number of ways of choosing any 3 places from 9 different places is $${}^9{C_3}$$.

Statement - 1 is true, Statement - 2 is true, Statement - 2 is not a correct explanation for Statement - 1.

Statement - 1 is true, Statement - 2 is false.

Statement - 1 is false, Statement - 2 is true.

Statement - 1 is true, Statement - 2 is true, Statement - 2 is a correct explanation for Statement - 1.

AIEEE 2010

MCQ (Single Correct Answer)

-1

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

108

AIEEE 2009

MCQ (Single Correct Answer)

-1

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangement is :

at least 500 but less than 750

at least 750 but less than 1000

at least 1000

less than 500

AIEEE 2008

MCQ (Single Correct Answer)

-1

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?

$$8.{}^6{C_4}.{}^7{C_4}$$

$$6.7.{}^8{C_4}$$

$$6.8.{}^7{C_4}$$.

$$7.{}^6{C_4}.{}^8{C_4}$$