If nP5 = 60.n - 1 P3 , then n is.
6
15
10
12
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
63
90
126
45
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
32
48
64
96
Ashok, Usha,Rani,Sonu are to give speeches in a class.The teacher can arrange the order of their presentation in
4 ways
12 ways
256 ways
24 ways
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
266
5040
11760
86400
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
120
720
4320
2160
The number of different four digit numbers that can be formed with the digits 2,3,4,5,7 using each digit only once is.
4!
4 (4!)
5!
5 (7!)
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
210
1050
25200
21400
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
360
480
In how many ways can the letters of the word 'LEADER' be arranged?
72
144
