Find the number of ways the letters of the word ABDUCTIONS can be arranged in a circle such that the

Question

Find the number of ways the letters of the word ABDUCTIONS can be arranged in a circle such that the letters A, O and U must not be next to one another.[2] A five-letter codeword is randomly formed from the word TYRANNOSAUR. Find the number of codewords that can be formed if it contains at most pair of identical letters.[3] Find the probability that a codeword contains both R’s and both N’s, given that it contains the block of letters “RAN”.[2]

Accepted Answer

(a) ${151\,200}$ (b)(i) ${13\,020}$ (ii) ${\frac{1}{28}}$

2022 DHS P2 Q6

2022 DHS P2 Q6

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