1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The number of diagonals in a polygon is 20. The number of sides of the polygon is

A
5
B
6
C
8
D
10
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

$${}^{15}{C_3} + {}^{15}{C_5} + \,\,......\,\, + {}^{15}{C_{15}} = $$

A
$${2^{14}}$$
B
$${2^{14}} - 15$$
C
$${2^{14}} + 15$$
D
$${2^{14}} - 1$$
3
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The number of ways in which the letters of the word 'VERTICAL' can be arranged without changing the order of the vowels is

A
$$6! \times 3!$$
B
$${{8!} \over 3}$$
C
$$6! \times 3$$
D
$${{8!} \over {3!}}$$
4
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

n objects are distributed at random among n persons. The number of ways in which this can be done so that at least one of them will not get any object is

A
$$n! - n$$
B
$${n^n} - n$$
C
$${n^n} - {n^2}$$
D
$${n^n} - n!$$
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