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
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
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
If nP5 = 60.n - 1 P3 , then n is.
6
15
10
12
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
210
1050
25200
21400
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!)
P (10, r) = 2 P (9, r), r is equal to
2
4
5
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
120
4320
2160
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?
20
