1
IIT-JEE 2009 Paper 1 Offline
+3
-1
The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is
A
55
B
66
C
77
D
88
2
IIT-JEE 2008 Paper 2 Offline
+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
3
IIT-JEE 2007
+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
4
IIT-JEE 2005 Screening
+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
A
$${(m + n - 1)^2}$$
B
$${4^{m + n - 1}}$$
C
$${m^2}\,{n^2}$$
D
$$m(m + 1)\,n\,(m + 1)$$
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