AIEEE 2009 | Permutations and Combinations Question 163 | Mathematics

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?

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

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

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

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

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 2007

MCQ (Single Correct Answer)

-1

The set S = {1, 2, 3, ........., 12} is to be partitioned into three sets A, B, C of equal size. Thus $$A \cup B \cup C = S,\,A \cap B = B \cap C = A \cap C = \phi $$. The number of ways to partition S is

$${{12!} \over {{{(4!)}^3}}}\,\,$$

$${{12!} \over {{{(4!)}^4}}}\,\,$$

$${{12!} \over {3!\,\,{{(4!)}^3}}}$$

$${{12!} \over {3!\,\,{{(4!)}^4}}}$$

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