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

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Math Expert
Joined: 02 Sep 2009
Posts: 64240
A jousting tournament requires that a team consist of two knights and  [#permalink]

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17 Aug 2017, 00:12
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Difficulty:

5% (low)

Question Stats:

89% (01:04) correct 11% (01:15) wrong based on 96 sessions

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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

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Posts: 610
Re: A jousting tournament requires that a team consist of two knights and  [#permalink]

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17 Aug 2017, 00:58
1
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
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Joined: 22 May 2015
Posts: 118
Re: A jousting tournament requires that a team consist of two knights and  [#permalink]

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17 Aug 2017, 08:15
1
Choose 2 knights out of 5 * Choose 2 squires out of 3

5c2 * 3c2 = 30
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Concentration: Marketing, Strategy
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Re: A jousting tournament requires that a team consist of two knights and  [#permalink]

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22 Aug 2017, 23:15
1
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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Re: A jousting tournament requires that a team consist of two knights and  [#permalink]

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29 Mar 2020, 03:55
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

5C2 x 3C2 = [(5 x 4) / 2] x 3 = 10 x 3 = 30

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

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29 Mar 2020, 05:55

Solution

Given
In this question, we are given that
• 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.

To find
We need to determine
• The number of different lineups that Merry Band can field

Approach and Working out
In the formation of the lineup,
• 2 knights need to be chosen from 5 knights in $$^5C_2$$ or 10 ways
• 2 squires need to be chosen from 3 squires in $$^3C_2$$ or 3 ways

Hence, the number of ways the formation can be done = 10 x 3 = 30

Thus, option D is the correct answer.

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Re: A jousting tournament requires that a team consist of two knights and   [#permalink] 29 Mar 2020, 05:55