a) digits and letters can be repeated b) digits and letters cannot be repeated Question: 2 letters followed by 6 digits a. a) 67,600.000 b) 78,936,000 b. a) 676,000,000 b) 98,280,000 c. a) 98,280,000 b) 676,000,000 d. a) 78,936,000 b) 67,600,000

b.

(a) 676,000,000

(b) 98,280,000.

Step-by-step explanation:

If no repetition the number of possible outcomes is:

26P2 * 10P6

= 650 * 151200

= 98,280,000.

If repetitions are allowed it is:

(650 + 26) * 10^6

= 676 * 1,000,000

= 676,000,000.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

step-by-step explanation:

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