The Last of the Salt

Probability Level 1

If all passwords that use exactly the four letters S-A-L-T are listed in alphabetical order without repetition, what is the position of the word "LAST"?

4th 7th 9th 8th

Zandra Vinegar by Zandra Vinegar

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3 solutions

Sharad Chandran
Sep 7, 2015

No. of words starting with A is 3! The next word starting with L is LAST. Hence 3!+1=7. LAST is alphabetically smallest word starting with L in the given series.

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Hii Cristine XD
Sep 8, 2015

With A we can have 6 combinations 1. ALST 2. ALTS 3. ASLT 4. ASTL 5. ATLS 6. ATSL

Next comes up passwords starting with L The first arrangement is: LAST, so it is number 7

The mathematical way to solve this is to take "A" first, the other three remaining are L, S, and T, therefore we'll do 3! (factorial) from which we'll get 6 and the next is "LAST" which is number 7.

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Hadia Qadir
Sep 7, 2015

The number of words starting with A is 3! The next word starting with L is LAST. Hence 3!+1=7. LAST is alphabetically smallest word starting with L in the given series.

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