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Date May 2017 Marks available 5 Reference code 17M.1.hl.TZ1.4
Level HL only Paper 1 Time zone TZ1
Command term Find Question number 4 Adapted from N/A

Question

Three girls and four boys are seated randomly on a straight bench. Find the probability that the girls sit together and the boys sit together.

Markscheme

METHOD 1

total number of arrangements 7!     (A1)

number of ways for girls and boys to sit together =3!×4!×2     (M1)(A1)

 

Note:    Award M1A0 if the 2 is missing.

 

probability 3!×4!×27!     M1

 

Note:     Award M1 for attempting to write as a probability.

 

2×3×4!×27×6×5×4!

=235     A1

 

Note:     Award A0 if not fully simplified.

 

METHOD 2

37×26×15+47×36×25×14     (M1)A1A1

 

Note:     Accept 37×26×15×2 or 47×36×25×14×2.

 

=235     (M1)A1

 

Note:     Award A0 if not fully simplified.

 

[5 marks]

Examiners report

[N/A]

Syllabus sections

Topic 1 - Core: Algebra » 1.3
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