It is required to seat 5 men and 4 women in a row, so that women occupy the even places. How many such arrangements are possible?
9
20
120
2880
Let Tn denote the no. of triangles which can be formed using the vertices of a regular polygon of n sides. If T(n+1) -Tn = 21 , then the value of n is
5
7
6
4
How many no. of five digits can be formed from the digits 2, 0, 4,3, 8 if repetition of the numbers is not allowed.
96
128
164
256
6,7
7,8
8,9
9,10
In an examination, a candidate is required to pass in four different subjects. The no. of ways in which he can fail is
24
15
10
In how many ways 7 men and 7 women can sit on a round table such that no two women sit together?
(7!)2
6! x 7!
7 x (6!)2
7!
If a polygon has 10 sides, then the no. of diagonals of the polygon is
35
30
25
How many numbers between 400 and 1000 can be formed with digits 0,2,3,4,5 and 6, if no digit is repeated in the same number?
60
240
300
In how many ways (with or without meaning) a word of three alphabets of English language can be arranged if repetition is not allowed?
78
1500
6000
15600
