AIEEE 2008 | Permutations and Combinations Question 186 | Mathematics

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

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

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

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

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

AIEEE 2006

MCQ (Single Correct Answer)

-1

At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are of be selected, if a voter votes for at least one candidate, then the number of ways in which he can vote is

5040

6210

385

1110

AIEEE 2005

MCQ (Single Correct Answer)

-1

If the letter of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number

601

600

603

602

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