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A jousting tournament requires that a team consist of two knights and

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A jousting tournament requires that a team consist of two knights and [#permalink]

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New post 17 Aug 2017, 01:12
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A jousting tournament requires that a team consist of two knights and two squires. The Merry Band is forming a team from five knights and three squires. How many different lineups can The Merry Band field?

(A) 10
(B) 13
(C) 15
(D) 30
(E) 120
[Reveal] Spoiler: OA

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Kudos [?]: 129061 [0], given: 12190

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Re: A jousting tournament requires that a team consist of two knights and [#permalink]

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New post 17 Aug 2017, 01:58
Bunuel wrote:
A jousting tournament requires that a team consist of two knights and two squires. The Merry Band is forming a team from five knights and three squires. How many different lineups can The Merry Band field?

(A) 10
(B) 13
(C) 15
(D) 30
(E) 120



No of lineups=5C2*3C2=30
Answer D

Kudos [?]: 71 [0], given: 487

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Re: A jousting tournament requires that a team consist of two knights and [#permalink]

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New post 17 Aug 2017, 09:15
Choose 2 knights out of 5 * Choose 2 squires out of 3

5c2 * 3c2 = 30
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Joined: 25 Jan 2013
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Re: A jousting tournament requires that a team consist of two knights and [#permalink]

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New post 23 Aug 2017, 00:15
Bunuel wrote:
A jousting tournament requires that a team consisting of two knights and two squires. The Merry Band is forming a team from five knights and three squires. How many different lineups can The Merry Band field?

(A) 10
(B) 13
(C) 15
(D) 30
(E) 120


From 5 knights the first knight can be selected in 5 ways, next in 4 ways so, (5*4)/2=10

since we are selecting 2 item from 5 identical item we have to divide it by 2 identical

in the same manner, we have to select the squirs, so the number of squir= (3*2)/2=3

number of lineup= 10*3=30
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Kudos [?]: 9 [0], given: 47

Re: A jousting tournament requires that a team consist of two knights and   [#permalink] 23 Aug 2017, 00:15
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A jousting tournament requires that a team consist of two knights and

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