1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by
A
$$7!\, \times 5!\,\,$$
B
$$6!\, \times 5!$$
C
$$30!$$
D
$$5!\, \times 4!$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
If $${}^n{C_r}$$ denotes the number of combination of n things taken r at a time, then the expression $$\,{}^n{C_{r + 1}} + {}^n{C_{r - 1}} + 2\, \times \,{}^n{C_r}$$ equals
A
$$\,{}^{n + 1}{C_{r + 1}}$$
B
$${}^{n + 2}{C_r}$$
C
$${}^{n + 2}{C_{r + 1}}$$
D
$$\,{}^{n + 1}{C_r}$$
3
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 (using repetition allowed) are
A
216
B
375
C
400
D
720
4
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Number greater than 1000 but less than 4000 is formed using the digits 0, 1, 2, 3, 4 (repetition allowed). Their number is
A
125
B
105
C
374
D
625
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