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Class 11 Maths Practice Test - Permutations and Combinations
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Class 11 Maths Practice Test - Permutations and Combinations
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21 Questions

1. 6! = _____________
2. How many 3-digit numbers are possible using permutations without repetition of digits if digits are 1-9?
3. \(\frac{7!}{5!}\) = ____________________
4. Find the number of 4 letter words which can be formed from word IMAGE if repetition is allowed.
5. Find the number of 5 letter words which can be formed from word IMAGE without repetition using permutations.
6. 4Pr = 4*5Pr-1. Find r.
7. nPn = ________________
8. Permutation is also known as selection.
9. nPr = ________________
10. \(\frac{100}{10!} = \frac{1}{8!} + \frac{x}{9!}\). Find x.
11. How many 3-digit numbers are possible using permutations with repetition allowed if digits are 1-9?
12. The number of permutations of n different objects taken r at a time, where repetition is allowed is _______________
13. Find the number of 4 letter words which can be formed from word IMAGE using permutations without repetition.
14. nP0 = ________________
15. If nP3 = 4*nP2. Find n.
16. Find the number of different 8-letter arrangements that can be made from the letters of the word EDUCATION so that all vowels do not occur together.
17. In how many ways 2 red pens, 3 blue pens and 4 black pens can be arranged if same color pens are indistinguishable?
18. Find the number of words which can be made using all the letters of the word IMAGE. If these words are written as in a dictionary, what will be the rank of MAGIE?
19. Find the number of different 8-letter arrangements that can be made from the letters of the word EDUCATION so that all vowels occur together.
20. Find the number of 5 letter words that can be formed from word IMAGE using permutations if repetition is allowed.
21. Find the number of permutations of word DEPENDENT.

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