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1

### IIT-JEE 2009

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

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
3

### 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
4

### 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

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