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Mathematical Skills | Permutation and Computation

Q. No. 25:If the positive integers are formed using any number of digits from 0,1,2,3,4,5 but using each digit not more than once in any number, then find how many of these integers are greater than 3000?
A :
1380
B :
1800
C :
2250
D :
1120
Q. No. 26:How many three digit positive integers, are there whose hundreds digit is greater than the tens digit, which in turn, is greater than the unit digit?
A :
120
B :
254
C :
368
D :
440
Q. No. 27:In how many ways can twelve girls be arranged in a row if two particular girls must occupy the end places?
A :
10!/2!
B :
12!
C :
10! * 2!
D :
12!/2!
Q. No. 28:The number of ways in which 6 men and 5 women can dine at a round table if no women are to sit together is given by
A :
6! * 5!
B :
5! * 4!
C :
30
D :
7! * 5!
Q. No. 29:A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. the number of choices available to him is
A :
140
B :
280
C :
196
D :
346
Q. No. 30:In how many ways can the letters of the words 'Valedictory' be arranged so that the vowels may never be separated?
A :
5 * 8!
B :
8! * 4!
C :
4!
D :
8!
Permutation and Computation
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