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1
If nPr = 360 , find r.
5
4
3
6
2
There are 5 Mathematics books and 6 Physics books in a book shop. In how many ways a student can buy a mathematics book or a physics book?
5 ways.
6 ways.
11 ways.
None of these.
If there are 10 fountain pens and 12 ball point pens .In how many ways a person can buy a fountain pen and a ball pen ?
120 ways.
10 ways.
24 ways.
2 ways.
What will be the total ways in which 4 letter words can be formed from the letters of word MAHESH in which all vowels are always together?
12
68
72
In a furniture shop there are 12 chairs and 15 tables. A customer can buy a chair and a table in how many ways ?
120 ways
180 ways
24 ways
27 ways
What will be the total ways in which 4 letter words can be formed from the letters of word Delhi in which all vowels are always together ?
24
96
7
Compute the factorial of 6
120
720
5040
8
In a school there are 15 candidates for Science scholarship and 20 candidates for English scholarship. In how many ways either of these scholarships will be awarded?
35 ways.
25 ways.
300 ways.
150 ways.
9
In a book store there are 5 story books, 6 magazines and 2 English books . In how many ways the shopkeeper can give one of the three books to a child?
13 ways.
8 ways.
10
Among the 36 teachers in a school , one principal and one vice principal is to be appointed . In how many ways can this be done ?
1260
40320
11
All the three letters of the TAB are arranged to form different words without repeating any letter in an one word. The words so formed are, then arranged as in dictionary. What will be the position of the word TAB in that sequence ?
Compute the expression
210
2730
32760
360360
13
How many committee of five persons with a chairperson can be selected form 12 persons?
3965
3960
3300
3360
14
42
44
26
15
All the five letters of the word TABLE are arranged to form different words without repeating any letter in any word. The words so formed are, then arranged as in dictionary. What will be the position of the word TABEL in that sequence ?
97
91
301
16
How many four letter words , with or without meaning , can be formed out of the letters of the word , 'LOGARITHMS' , if repetition of letters is not allowed?
3628800
17
Find the number of arrangements of the letters of the word INDEPENDENCE. In how many of these arrangements
(i) do the words start with P
(ii) do all the vowels always come together
1386 , 186
1680 , 13860
138600 , 16800
16800 , 138600
18
Compute the following expression
30240
151200
50400
19
In a class of 10 students there are 3 girls. In how many ways can they be arranged in a row such that no two of the three girls are consecutive ?
336
1693440
20
How many words, with or without meaning, can be formed using all the letters of the word 'EQUATION', using each letter exactly once.