1
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+4
-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
(A) - p ; (B) - s; (C) - q ; (D) - q
B
(A) - q ; (B) - q ; (C) - s ; (D) - p
C
(A) - p ; (B) - s; (C) - p ; (D) - r
D
(A) - p ; (B) - r ; (C) - q ; (D) - p
2
IIT-JEE 2007
MCQ (Single Correct Answer)
+3
-0.75
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
A
360
B
192
C
96
D
48
3
IIT-JEE 2005 Screening
MCQ (Single Correct Answer)
+2
-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 35 English
A
$${(m + n - 1)^2}$$
B
$${4^{m + n - 1}}$$
C
$${m^2}\,{n^2}$$
D
$$m(m + 1)\,n\,(m + 1)$$
4
IIT-JEE 2005 Screening
MCQ (Single Correct Answer)
+2
-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
A
252
B
254
C
225
D
224
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