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Math Practice Test: Permutations And Combinations
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Math Practice Test: Permutations And Combinations
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25 Questions

1. In a municipal corporation there are 20 councilors and 5 elders.How many committees can be formed consisting of 6 councilors and 3 elders.
2. In how many ways can 6 boys and 6 girls be made to stand in a line so that no two girls stand together?
3. How many different 4-digit numbers can be made from the first 4 natural numbers, using each digit only once?
4. If 68179.pngthen n =
5. What is the probability of a natural number being divisible by 6 or 12?
6. How many different numbers 'T' (999 < T < 10000) using digits 9,4,2,7,5,8 and 6 without repetition can be generated ?
7. Find the total number of words that can be made by using all the letters from the word “MEHNATI” using only once.
8. A housewife can serve 4 dishes (out of 10 recipes) to her guests in how many ways?
9. In how many ways can the letters of the word “MARRAGE” be arranged if the two R’s are not allowed to come together?
10. Twelve friends meet and shake hand with each other so carefully that no one shakes hands twice with any of the friends. How many hand shakes were done?
11. In how many other ways can the letters of the word “PERSONAL” be re-arranged?
12. What is the value of 18C16
13. How many 5 letter words having two different vowels and 3 different consonants can be formed from a set of alphabets?
14. In how many ways can the 7 letter X, Y, Z, P, B, C, Q be arranged so that B and C may always occupy continuous positions?
15. A student can opt for 5 subjects (out of 9 subjects - with 2 subjects compulsory to be taken) in how many ways?
16. In how many ways 6 letters M, N, O, P, Q, R be arranged in a row so that P and Q always occupy continuous position?
17. 7 persons P, Q,R,S,T,U,V are to speak in a meeting.In how many ways can they do this without P speaking before Q?
18. In a single toss of 4 coins what is the probability of getting at most one head?
19. How many different 5 bar bar codes can be formed using 5 bars?
20. How many different words can be made which are beginning with 2 M’s and ending with 2 T’s?
21. If 68614.png, find r.
22. How many different words can be made which are beginning with S?
23. Permutation is a sampling.
24. How many different 4-lettered words can be made from the word MEHA so that H and M are always together?
25. <>A decagon can have how many triangles joining its vertices?