1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is
A
$${}^8{C_3}$$
B
21
C
$${3^8}$$
D
5
2
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
$$5!\, \times 4!$$
3
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is
A
346
B
140
C
196
D
280
4
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
$$\,{}^{n + 1}{C_r}$$
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