The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n \(\in\) N is ________.

(a)

2

(b)

6

(c)

20

(d)

24

For all n > 0, nC₁ + nC₂ + nC₃ + ... +nC_n is equal to _______

(a)

2n

(b)

2ⁿ- 1

(c)

n²

(d)

n² - 1

The middle term in the expansion of \({ \left( x+\frac { 1 }{ x } \right) }^{ 10 }\) is _______.

(a)

10C₄\(\left( \frac { 1 }{ x } \right) \)

(b)

10C₅

(c)

10C₆

(d)

10C₇x⁴

The last term in the expansion of (3 +\(\sqrt{2}\) )⁸ is ________

(a)

81

(b)

16

(c)

8\(\sqrt{2}\)

(d)

27\(\sqrt{3}\)

The number of 3 letter words that can be formed from the letters of the word number when the repetition is allowed are ________.

(a)

206

(b)

133

(c)

216

(d)

300