In how many ways can the letters of the word 'LEADER' be arranged?
72
144
360
720
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
480
5040
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
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
266
11760
86400
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
40
400
2520
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
5
10
15
20
In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
36
60
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
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 a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
159
194
205
209