The registrants would be able to see the 6 sightseeing tours in 18 ways.
Here it is given that the convention has organized the 6 sightseeing tours on 3 days each.
This implies that the 6 sightseeing tours are available on all three days.
Hence, the registrants would be able to book the tour on any of the one days.
Hence, on day 1
the registrants will be able to tour in ways
On day 2
the registrants would again be able to tour in 6 ways,
Similarly on day 3, they will again be able to tour in 6 ways.
Since they need to choose either of the days given, the total number of ways to tour will be
no.of ways for day 1 + no. of ways for day 2 + no. of d6ays for day 3
= 6 + 6 + 6
= 18 ways
Hence, they can go on a sightseeing tour in 18 ways.
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