IIT-JEE 2008 Paper 2 Offline | Permutations and Combinations Question 30 | Mathematics

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Consider all possible permutations of the letters of the word ENDEANOEL. Match the Statements/Expressions in Column I with the Statements/Expressions in Column II.

	Column I		Column II
(A)	The number of permutations containing the word ENDEA is	(P)	5!
(B)	The number of permutations in which the letter E occurs in the first and the last position is	(Q)	2 $$\times$$ 5!
(C)	The number of permutations in which none of the letters D, L, N occurs in the last five positions is	(R)	7 $$\times$$ 5!
(D)	The number of permutations in which the letters A, E, O occur only in odd positions is	(S)	21 $$\times$$ 5!

(A) - p ; (B) - s; (C) - q ; (D) - q

(A) - q ; (B) - q ; (C) - s ; (D) - p

(A) - p ; (B) - s; (C) - p ; (D) - r

(A) - p ; (B) - r ; (C) - q ; (D) - p

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-1

The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is :

360

192

IIT-JEE 2005 Screening

MCQ (Single Correct Answer)

-0.5

A rectangle with sides of lenght (2m - 1) and (2n - 1) units is divided into squares of unit lenght by drawing parallel lines as shown in the diagram, then the number of rectangles possible with odd side lengths is IIT-JEE 2005 Screening Mathematics - Permutations and Combinations Question 40 English

IIT-JEE 2005 Screening Mathematics - Permutations and Combinations Question 40 English

$${(m + n - 1)^2}$$

$${4^{m + n - 1}}$$

$${m^2}\,{n^2}$$

$$m(m + 1)\,n\,(m + 1)$$

IIT-JEE 2005 Screening

MCQ (Single Correct Answer)

-0.5

If the LCM of p, q is $${r^2}\,{r^4}\,{s^2}$$, where r, s, t are prime numbers and p, q are the positive integers then number of ordered pair (p, q) is

252

254

225

224

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