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1
If nPr = 360 , find r.
5
4
3
6
2
A team of 5 boys is to be formed from 8 boys in which one boy is always included, what will be the total number of all possible arrangement?
120
4200
5040
360
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.
There are 8 toy cars and 5 dolls in a shop. In how many ways the shopkeeper will either sell a toy car or a doll?
13 ways.
7 ways.
20 ways.
91 ways .
If P( n, 5) = 20. P(n-3) , find n.
8
16
15
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
7
In a class there are 5 boys and 5 girls. The teacher wants to select a boy and a girl to represent the class in a function. In how many ways can the teacher make this selection ?
10 ways.
5 ways.
15 ways.
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
9
If there are 12 questions in ch-1,18 questions in ch-2 and 15 questions in ch-3. In how many ways teacher can select a question from any one of the 3 chapters?
45 ways.
65 ways.
216 ways.
180 ways.
10
There are 5 basket balls , 10 base balls and 2 cricket balls in a shop. In a how many ways players can buy three of them ?
100 ways.
17 ways.
13 ways .
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 ?
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
720
40320
13
In how many ways can 6 persons stand in a queue?
14
Compute the expression
210
2730
32760
360360
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?
24
3628800
Which of the following statements are true:
1. In a class there are 10 boys and 8 girls. The teacher wants to select either a boy or a girl to represent the class in a function the teacher can perform this selection in 16 ways.
2. In a library there are 10 English and 5 Hindi books. The student has to select either a Hindi or English book, The student can perform this selection in 15 ways.
Only statement 1 is correct
Only statement 2 is correct
Both the statements are correct
Both the statements are incorrect
17
Compute the following expression
489
640
306
204
18
Which of the following statement is/are correct?
(a) In a class there are 4 boys and 3 girls. Teacher wants to select a boy or a girl . Teacher can make selection in 12 ways.
(b) In a shop there are 5 candies and 5 chocolates. A child wants to have a candy or a chocolate. A child can have a candy or a chocolate in 25 ways.
Both (a) and (b) are correct .
Only (a) is correct.
Only (b) is correct.
None of these.
19
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
20
Which of the following statement is /are correct?
(a) There are 20 dancers and 8 non dancers . In 160 ways the choreographer can choose a dancer and a non dancer .
(b) In a bakery there are 5 cakes ,7 pastries and 4 swiss rolls . In 16 ways a customer can buy a cake , pastry and a swiss role .
Both (a) and (b) are correct.