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Permutation & Combination

The document contains 17 questions related to permutation and combination problems. Some examples of the problems include: calculating factorials, finding the number of arrangements of letters in words while following certain rules, finding the number of handshakes that could occur in a group of people, and determining the number of possible outcomes when selecting items from groups. The questions test a variety of permutation and combination concepts.

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Vinay Krishna H V
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111 views2 pages

Permutation & Combination

The document contains 17 questions related to permutation and combination problems. Some examples of the problems include: calculating factorials, finding the number of arrangements of letters in words while following certain rules, finding the number of handshakes that could occur in a group of people, and determining the number of possible outcomes when selecting items from groups. The questions test a variety of permutation and combination concepts.

Uploaded by

Vinay Krishna H V
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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PERMUTATION & COMBINATION

1. Evaluate 30! / 28!

9 4 10 50
2. Find the value of P5, P4, C3, C50
3. How many words with or without meaning can be formed using all letters of the
word ORANGE using each letter exactly once?
a) 720 b) 1020 c) 240 d) 640

4. In how many ways can the letters of word LANGUAGE be arranged such that
vowels always come together?
a) 1000 b) 720 c) 840 d) 550

5. How many different words that can be formed using all the letters of the word
MISSISSIPPI?
a) 34560 b) 34650 c) 34550 d) none of these

6. There are 28 stations between Mumbai & Ahmedabad. How many tickets of
different single journey second class tickers have to be printed in order that it may
possible to travel from any station to any other?
a) 870 b) 756 c) 435 d) 378

7. In how many ways can 5 books on economy, 3 books on statistics and 6 on GST
be arranged on a shelf so that books on each subject are always together?
a) 90 b) 5! X 3! X 6! c) 3! X 5! X 3! X6! d) none of these

8. How many 3 digited numbers that can be formed using the digits 0, 1, 2, 3, 4?
How many of them are even?
a) 48 & 30 b) 64 & 34 c) 50 & 30 d) 40 & 20

9. There are 25 persons in a room; each of them shakes hand with other persons.
How many handshakes took place?
a) 500 b) 250 c) 300 d) 400

10. There are some persons in a room. Each of them shakes hand with each other
person. If 66 handshakes took place, how many persons were inside the room?
a) 11 b) 12 c) 22 d) None of these

11. In how many ways a group of 4 men and 4 women be formed out of 7 men & 8
women?
a) 105 b) 2450 c) 2644 d) 1170

12. In how many ways can a team of 11 be chosen from 14 cricket players if two of
them can only be wicket keepers?
a) 132 b) 66 c) 12 d) None of these
13. In how many ways can a batch of 5 teachers be selected out of 10 teachers so
that eldest is included & youngest is excluded?
a) 210 b) 126 c) 252 d) 70

14. Out of 5 boys and 2 girls, a committee of 3 is to be formed. In how many ways,
it can be formed if at least one girl can be included?
a) 20 b) 25 c) 32 d) 60

15. In an examination, a candidate has to pass in each of the 6 subjects. In how


many ways he can fail?
a) 6 b) 36 c) 63 d) none of these

16. There is a 7-digit telephone number with all different digits. If the digit at
extreme right and extreme left are 5 and 6 respectively, find how many such
telephone numbers are possible?
a) 120 b) 100000 c) 6720 d) 30240

17. All letters of the word ‘AGAIN’ are permuted in all possible ways and the words
so formed (with or without meaning) are written as in a dictionary. Then, the 50th
word is:
a) NAAGI b) NAAIG c) IAANG d) INAGA

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