Quantitative Aptitude - Permutation And Combinations
62. How many five different letter words can be formed out of the word "LOGARITHMS"?
- Option : C
- Explanation : Total letters in the word "LOGARITHMS" is 10,i.e. n=10 and we have to form five-letter words
r = 5 Required number of words,
= 10 x 9 x 8 x 7 x 6
= 30240
Value of r will be
- Option : B
- Explanation : Since npr is product of consecutive positive integers.
npr = 3024 = 9 x 8 x 7 x 6
Hence, r = 4
- Option : C
- Explanation : First three jobs can be filled by 5 members in 5P3 ways.
Number of ways of filling the first 3 jobs
5P3 = 5 x 4 x 3 = 60 ways.
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