Question

a keycode must contain 4 letters followed by 3 numbers. The letters may be any letters of the alphabet. The numbers should be any number from 0 to 5. How many different keycode combinations are there?

Answer 1

Answer:

98,706,816 combinations

Step-by-step explanation:

Let's make a little graphic of it:

Letters (4):  ___  ___  ___  ___

Numbers (3):  ___  ___  ___

In the 4 lines/placeholders of the letters, it can be ANY letter of the alphabet, it can be any 26 of them.

In the 3 lines of the numbers, it can be any number from 0 - 5, which is 6 numbers.

Thus we can say:

Letters = 26 * 26 * 26 * 26 = 456,976

Numbers = 6 * 6 * 6 = 216

Their PRODUCT is the number of combinations possible.

456,976 * 216 = 98,706,816 combinations