Question

there are 8 digits and 5 alphabets.In how many ways can you form an alphanumeric word using 3 digits and 2 alphabets?

Answer 1

there are two possibilities

either you repeat the digits and alphabets or not

CASE 1 : repeating the digits and alphabets

$alphanumeric \: words \: = 8 \times 8 \times 8 \times 5 \times 5 = 12800$

CASE 2 : DIGITS AND ALPHABETS ARE NOT REPEATED

$alphanumeric \: words \: = 8 \times 7 \times 6 \times 5 \times 4 = 6720$
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