NDA MATHEMATICS QUIZ - 6

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Question 1:

The value of ${ }^{16} C_{5}+{ }^{16} C_{4}-{ }^{16} C_{11}-{ }^{16} C_{12}$ is

Question 2:

There are $m \geqslant 3$ distinct papers set in an examination, exactly ,two of which are on physics. The number of ways of arranging  the papers so that two on physics are always together is.

Question 3:

A man organises a party of $(a+b)$ friends to a dinner and places $a$ of them at one round table and $b$ at another. The number of ways of arranging the guests is.

Question 4:

The number of non - negative integral solutions of $a+b+c=5$ is.

Question 5:

If $\Delta_{n}$ denotes the number of triangles which can be formed using the vertices of a regular polygon of $n$ sides . If $\Delta_{n+1}-\Delta_{n}=21$ then n equals.

Question 6:

In how may ways 5 men and 5 women can be seated at around table if no two men sit together ?

Question 7:

The number of non congruent rectangles that can be found on a chess board is.

Question 8:

The number of ways in which 16 identical red balls can be distributed among 4 boys if each boy gets at least 3 balls is .

Question 9:

The number of ways the letters of the word "ARRANGE" can be arranged so that the two R's never come together is.

Question 10:

In an examination a minimum marks  is to be secured in each of 6 subjects for a pass. In how many ways can a student fail ?