AIEEE 2010 | Permutations and Combinations Question 205 | Mathematics

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

In a shop there are five types of ice-cream available. A child buys six ice-cream.
Statement - 1: The number of different ways the child can buy the six ice-cream is $${}^{10}{C_5}$$.
Statement - 2: The number of different ways the child can buy the six ice-cream is equal to the number of different ways of arranging 6 A and 4 B's in a row.

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

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

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?

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

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

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

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