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MathNet 2015-part-06 — 191 problems (EN–VI) Question 6

Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)

Question 6

From the letters of the word LJUBEZNIVOST we form words of length 4. Letters must not repeat.

a) How many different words can we form?

b) How many different words can we form if we use only vowels?

c) Calculate the probability that from randomly chosen letters we form the word NEBO.

d) Calculate the probability that from randomly chosen letters we form a word that begins and ends with a consonant.

(8 points)