2021 VJC P2 Q5

Timothy Gan

2021 VJC P2 Q5

Find the number of ways in which all twelve letters of the word MISSPELLINGS can be arranged if

(i)

both the I’s are placed at the beginning and both the L’s are placed at the end,

[1]

(ii)

between any two S’s, there must be at least $4$ other letters.

[3]

A group of $8$ letters is randomly selected from the letters of the word MISSPELLINGS. Find the probability that all $8$ letters are distinct.

[2]

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Published: 30th June 2022

Written by

Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

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