Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
210
1050
25200
21400
Twelve students compete for a race.The number of ways in which first three places can be taken as.
3!
12 ×11 ×10.
12!/3!
12! - 3
In how many ways can the letters of the word 'LEADER' be arranged?
72
144
360
720
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!)
If nP5 = 60 .n - 1P3 , 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
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
120
4320
2160
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
810
1440
2880
50400
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
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