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Let T={p, q, r, s, t}. The number of strings in S* of length 4 such that no symbols can be repeated.

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Let T={p, q, r, s, t}. The number of strings in S* of length 4 such that no symbols can be repeated.

(a) 120

(b) 625

(c) 360

(d) 36

This question was addressed to me in an international level competition.

My question is taken from Regular Languages and D-PDA in division Push Down Automata of Automata Theory

1 Answer

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Correct option is (b) 625

To elaborate: Using the permutation rule, we can calculate that there will be total of 625 permutations on 5 elements taking 4 as the length.

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