Mrs. Geometry asked each of her students tocreate a code for their IXL account. The codemust contain exactly 3 letters then 2 numberswithout repetition. How many different codescould one student create?(PLEASE HELP WITH THIS QUESTION)

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Answer

Total number of different codes possible = 1,404,000

Explanation

The students can use 3 letters and 2 numbers without repetition.

For the first spot, there are 26 letters to chose from.

For the second spot, there are 25 letters to chose from.

For the third spot, there are 24 letters to chose from.

For the fourth spot, there are 10 numbers to chose from (0 to 9)

For the fifth spot, there are 9 numbers to pick from.

Total number of different codes possible = 26 × 25 × 24 × 10 × 9 = 1,404,000

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