MULTIPLE CHOICE QUESTIONS (MCQs)

Write the number of arrangements of the letters of the word $\mathrm{BANANA}$ in which two $\mathrm{N}\text{'}\mathrm{s}$ come together.

Write the number of ways in which $7$ men and $7$ women can sit on a round table such that no two women sit together.

Write the number of words that can be formed out of the letters of the word $\text{'}\mathrm{COMMITTEE}\text{'}$. (Write only numerical value)

Write the number of all possible words that can be formed using the letters of the word '$\mathrm{MATHEMATICS}$'.

Write the number of ways in which $6$ men and $5$ women can dine at a round table if no two women sit together.

Write the number of ways in which $5$ boys and $3$ girls can be seated in a row so that each girl is between $2$ boys.

Write the remainder obtained when $1!+2!+3!+\dots +200!$ is divided by $14$.

Write the number of numbers that can be formed using all four digits $1, 2, 3, 4$.