Four letters are selected from the 10 letters of the word SHOPKEEPER. Find the number of different selections if the four letters include exactly one P. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_51 Year:2020 Question No:7(d)

Answer:

Scenarios:
$\begin{array}{ll}\text { P E E E } & { }^{5} \mathrm{C}_{0}=1 \\ \text { P E E } & { }^{5} \mathrm{C}_{1}=5 \\ \text { P E }- & { }^{5} \mathrm{C}_{2}=10 \\ \mathrm{P}_{---} & { }^{5} \mathrm{C}_{3}=10\end{array}$
Total $=26$

Knowledge points:

5.2.1 understand the terms permutation and combination, and solve simple problems involving selections

Solution:

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