From a group of 5 candidates you randomly choose a President and Vice-President. How many possible outcomes?
20
9
10
25
How many different committees can be formed, if the committee has 3 people and there is 12 students to select from?
36
220
660
1320
From a group of 7 men and 6 women, five persons are to be selected to form a committee with at least 3 men. In how many ways can it be done?
564
645
735
756
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 different ways can the letters of the word "LEADING" be arranged so that the vowels always come together?
360
480
720
5040
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 ways can the letters of the word "LEADER" be arranged?
72
144
360
720
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
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
How many 3-digit numbers are possible using the digits 0,1,4,5,7 and 9 if the numbers can only be used once?
100
120
180
200
How many 3-digit numbers are possible using the digits 0,1,4,5,7 and 9 if there is no restriction on how many times each number can be used?
90
120
160
180
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 contain 2 different white balls, 3 different black balls and 4 different red balls. 3 balls chosen from box, at least one black, how many selections?
32
48
64
96
In how many different ways can the letters of the word "DETAIL" be arranged so that the vowels occupy only the odd positions?
32
48
36
60
In how many ways a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
63
90
126
45
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
5040
2520
In how many different ways can the letters of the word "MATHEMATICS" be arranged so that the vowels always come together?
10080
4989600
120960
None of these
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