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Mathematics 15 Online
OpenStudy (anonymous):

Cathy is making labels using four letters (of the 26 in the alphabet) for each label. No two letters can be duplicated for any one label. What multiplication principle of counting is used to determine how many possible labels can be made?

OpenStudy (anonymous):

A 26 × 25 × 24 × 23 B 4 × 26 × 25 × 24 × 23 C 26 × 26 × 26 × 26

ganeshie8 (ganeshie8):

so, she has to pick 4 letters from 26 letters

OpenStudy (anonymous):

so then its C

ganeshie8 (ganeshie8):

number of ways for picking 1st letter = 26

ganeshie8 (ganeshie8):

close, but thats not the answer

OpenStudy (anonymous):

its A!!

ganeshie8 (ganeshie8):

since you cannot pick already used letter for second letter, u have oly 25 ways for picking second letter

ganeshie8 (ganeshie8):

on the same veins, u have 24 ways for picking 3rd letter

ganeshie8 (ganeshie8):

and 23 ways for picking fourth latter

ganeshie8 (ganeshie8):

so total ways = 26 x 25 x 24 x 23

ganeshie8 (ganeshie8):

you're right, its A

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