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Question Number 11383 by tawa last updated on 22/Mar/17

There are six trains travelling between Abuja and Lagos and back.  In how many ways can a man travel from abuja to Lagos by one train and  return by a different train

$$\mathrm{There}\:\mathrm{are}\:\mathrm{six}\:\mathrm{trains}\:\mathrm{travelling}\:\mathrm{between}\:\mathrm{Abuja}\:\mathrm{and}\:\mathrm{Lagos}\:\mathrm{and}\:\mathrm{back}. \\ $$$$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{a}\:\mathrm{man}\:\mathrm{travel}\:\mathrm{from}\:\mathrm{abuja}\:\mathrm{to}\:\mathrm{Lagos}\:\mathrm{by}\:\mathrm{one}\:\mathrm{train}\:\mathrm{and} \\ $$$$\mathrm{return}\:\mathrm{by}\:\mathrm{a}\:\mathrm{different}\:\mathrm{train} \\ $$

Answered by sandy_suhendra last updated on 23/Mar/17

Abuja to Lagos = 6 trains  When return = 5 trains  There are = 6 × 5 = 30 ways

$$\mathrm{Abuja}\:\mathrm{to}\:\mathrm{Lagos}\:=\:\mathrm{6}\:\mathrm{trains} \\ $$$$\mathrm{When}\:\mathrm{return}\:=\:\mathrm{5}\:\mathrm{trains} \\ $$$$\mathrm{There}\:\mathrm{are}\:=\:\mathrm{6}\:×\:\mathrm{5}\:=\:\mathrm{30}\:\mathrm{ways} \\ $$

Commented by tawa last updated on 23/Mar/17

God bless you sir.

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$

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