Five of the 11 letters in the word REQUIREMENT are selected. How many possible selections contain at least two Es and at least one R? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................
Exam No：9709_s21_qp_53 Year：2021 Question No：6(d)
Answer:
EER \(\quad{ }^{6} \mathrm{C}_{2}=15\)
EER R \(\quad{ }^{6} \mathrm{C}_{1}=6\)
EEER- \(\quad{ }^{6} \mathrm{C}_{1}=6\)
EEER R \(\quad{ }^{6} \mathrm{C}_{0}=1\)
\([\) Total \(=] 28\)
Alternative method for Question 6(d)
\(\mathrm{EER}^{\wedge \wedge}={ }^{8} \mathrm{C}_{2}\)
\([\) Total \(=\) ] 28
EER R \(\quad{ }^{6} \mathrm{C}_{1}=6\)
EEER- \(\quad{ }^{6} \mathrm{C}_{1}=6\)
EEER R \(\quad{ }^{6} \mathrm{C}_{0}=1\)
\([\) Total \(=] 28\)
Alternative method for Question 6(d)
\(\mathrm{EER}^{\wedge \wedge}={ }^{8} \mathrm{C}_{2}\)
\([\) Total \(=\) ] 28
Knowledge points:
5.2.1 understand the terms permutation and combination, and solve simple problems involving selections
Solution:
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