Question

Serial numbers for a product are to be made using letters followed by digits. The letters are to be taken from the first letters of the alphabet, with no repeats. The digits are taken from the digits , with no repeats. How many serial numbers can be generated?

Answer 1

Answer:

151,200 can be generated

Step-by-step explanation:

Serial numbers for a product are to be made using 2 letters followed by 4 numbers. If the letters are to be taken from the first 6 letters of the alphabet with no repeats and the numbers are taken from the digits 0 through 9 with no repeats, how many serial numbers can be generated?

2 letters of 6 AND 4 numbers of 10

         LL                       XXXX

As it is ordered, it's a permutation, so:

₆P₂ AND ₁₀P₄ = ₆P₂*₁₀P₄ = 6.5.10.9.8.7 = 151200