1

### IIT-JEE 2008

Consider all possible permutations of the letters of the word ENDEANOEL. Match the statements / Expressions in Column I with the statement / Expressions in Column II
Column I
(A) The number of permutayions containing the word ENDEA is
(B) The number of permutations in which the letter E occure in the first and the last positions is
(C) The number of permutations in which none of the letters D, L, N occurs in the last five position is
(D) The number of permutations in which the letter A, E, O occurs only in odd position is
Column II
(p) 5!
(q) $$\,2 \times 5!$$
(r) $$\,7 \times 5!$$
(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

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

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
4

### IIT-JEE 2005 Screening

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

### Joint Entrance Examination

JEE Main JEE Advanced WB JEE

### Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

NEET

Class 12