AIEEE 2003 | Permutations and Combinations Question 171 | Mathematics

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

346

140

196

280

AIEEE 2003

MCQ (Single Correct Answer)

-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

$$7!\, \times 5!\,\,$$

$$6!\, \times 5!$$

$$30!$$

$$5!\, \times 4!$$

AIEEE 2003

MCQ (Single Correct Answer)

-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

$$\,{}^{n + 1}{C_{r + 1}}$$

$${}^{n + 2}{C_r}$$

$${}^{n + 2}{C_{r + 1}}$$

$$\,{}^{n + 1}{C_r}$$

AIEEE 2002

MCQ (Single Correct Answer)

-1