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# A hostess must seat 10 people around 2 circular tables. Table 1 can ho

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Math Expert
Joined: 02 Sep 2009
Posts: 59674
A hostess must seat 10 people around 2 circular tables. Table 1 can ho  [#permalink]

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12 Nov 2019, 02:30
00:00

Difficulty:

45% (medium)

Question Stats:

50% (01:15) correct 50% (01:52) wrong based on 6 sessions

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A hostess must seat 10 people around 2 circular tables. Table 1 can hold 6 people, table 2 can hold 4 people. If the hostess always seats people at Table 1 first and 2 seating arrangements are said to be different only when the positions of people are different relative to each other at the table, how many seating arrangements are possible?

A. $$5*210$$

B. $$15!*210$$

C. $$120*3!$$

D. $$5!*3!*210$$

E. $$5!*5!*3!$$

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Concentration: Sustainability, Marketing
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Re: A hostess must seat 10 people around 2 circular tables. Table 1 can ho  [#permalink]

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12 Nov 2019, 03:03
first people are seated on table 1 = 5! ways
and then for table 2 we have 10c4 *3! ways
IMO D
$$5!*3!*210$$

Bunuel wrote:
A hostess must seat 10 people around 2 circular tables. Table 1 can hold 6 people, table 2 can hold 4 people. If the hostess always seats people at Table 1 first and 2 seating arrangements are said to be different only when the positions of people are different relative to each other at the table, how many seating arrangements are possible?

A. $$5*210$$

B. $$15!*210$$

C. $$120*3!$$

D. $$5!*3!*210$$

E. $$5!*5!*3!$$

Are You Up For the Challenge: 700 Level Questions
Re: A hostess must seat 10 people around 2 circular tables. Table 1 can ho   [#permalink] 12 Nov 2019, 03:03
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