How many different four-digit alarm codes can be formed for a house alarm if the first digit must be a 2, 4, or 9, and all other digits can be any number and CAN NOT BE REPEATED?

Answers

10 000 times greater
Sa kagubatan po kasi naninirahan ang mga hayop na siya din ang dahilan ng balanse sa ating mundo. at ang mga hayop din ay ginagawa nating pagkain. ang mga puno sa kagubatan ay tumutulong upang maiwasan ang pagguho ng mga lupa at para mabawasan ang init na dulot ng climate change. nakatutulong din ito para hindi masyadong lumaganap ang baha sa iba't ibang lungsod sa ating bansa. yun lang po ang naisip ko ehh. 

There are 1512 ways.

Step-by-step explanation:

Let ABCD be the four digit alarm code. Since the first digit must be a 2, 4, or 9, there are only 3 possible values of A. Since any number cannot be repeated, B, C, and D can't have 10 possible values. B can have 9 possible values since one number is already occupied by A. C can have 8 possible values since two numbers are already occupied by A and B. D can have 7 possible values since three numbers are already occupied by A, B, and C. By the Fundamental Counting Principle, ABCD can have 3•9•8•7=1512 possible values.



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