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Which of the following statements individually provide enough informat
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24 Sep 2021, 03:20
24 Sep 2021, 03:20
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Which of the following statements individually provide enough information to determine the number of students in a group?
Indicate all such statements.
A The number of ways 3 students can be selected from the group to form a team is 35.
B The number of ways 3 students from the group can be seated in a row is 210.
C The number of ways all the students from the group can be selected to form a team is 1.
D The number of ways 3 students can be selected from the group to form a team equals the number of ways 4 students can be selected from the group to form a team.
Source: manhattanreview
Indicate all such statements.
A The number of ways 3 students can be selected from the group to form a team is 35.
B The number of ways 3 students from the group can be seated in a row is 210.
C The number of ways all the students from the group can be selected to form a team is 1.
D The number of ways 3 students can be selected from the group to form a team equals the number of ways 4 students can be selected from the group to form a team.
Source: manhattanreview
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Which of the following statements individually provide enough informat
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05 Oct 2021, 22:10
05 Oct 2021, 22:10
1
Carcass wrote:
Which of the following statements individually provide enough information to determine the number of students in a group?
Indicate all such statements.
A The number of ways 3 students can be selected from the group to form a team is 35.
B The number of ways 3 students from the group can be seated in a row is 210.
C The number of ways all the students from the group can be selected to form a team is 1.
D The number of ways 3 students can be selected from the group to form a team equals the number of ways 4 students can be selected from the group to form a team.
Indicate all such statements.
A The number of ways 3 students can be selected from the group to form a team is 35.
B The number of ways 3 students from the group can be seated in a row is 210.
C The number of ways all the students from the group can be selected to form a team is 1.
D The number of ways 3 students can be selected from the group to form a team equals the number of ways 4 students can be selected from the group to form a team.
Let the total number of students be \(n\)
A. The number of ways 3 students can be selected from the group to form a team is 35
i.e. \(^nC_3 = 35\)
Solve for \(n = 7\)
B. The number of ways 3 students from the group can be seated in a row is 210
i.e. \((n)(n-1)(n-2) = 210\)
Solve for \(n = 7\)
C. The number of ways all the students from the group can be selected to form a team is 1
i.e. \(^nC_n = 1\), which is a general formula
For example, \(^3C_3\) is 1and \(^7C_7\) is 1 too!
D. The number of ways 3 students can be selected from the group to form a team equals the number of ways 4 students can be selected from the group to form a team
i.e. \(^nC_3 = ^nC_4\)
Solve for \(n = 7\)
You can also use the rule:
If \(^nC_a = ^nC_b\), then \(n = a + b\)
Hence, option A, B, and D
gmatclubot
Which of the following statements individually provide enough informat [#permalink]
05 Oct 2021, 22:10
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