Suppose you wrote all the letters to the alphabet down in a random sequence. What is the probability that you write down at least 5 letters in proper alphabetical order?

For clarity (hopefully): for a letter to be in proper alphabetical order, the letter does not have to be moved or switched to the left past another letter in the given list. When deciding how many letters in a given random list are in order note that Letters need not be in adjacent order A,B,C,D,...) to be in proper alphabetical order. See examples below for more clarity.

Examples:

A L C E H. .... 4 letters are in proper alphabetical order (by dropping L)

ZYXWU ..... 1 letter is in proper letter order, pick one

HDAZV ........ 2 letters are in proper letter order, AZ for example

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## BMAD

Suppose you wrote all the letters to the alphabet down in a random sequence. What is the probability that you write down at least 5 letters in proper alphabetical order?

For clarity (hopefully): for a letter to be in proper alphabetical order, the letter does not have to be moved or switched to the left past another letter in the given list. When deciding how many letters in a given random list are in order note that Letters need not be in adjacent order A,B,C,D,...) to be in proper alphabetical order. See examples below for more clarity.

Examples:

A L C E H. .... 4 letters are in proper alphabetical order (by dropping L)

ZYXWU ..... 1 letter is in proper letter order, pick one

HDAZV ........ 2 letters are in proper letter order, AZ for example

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