You draw two cards from a standard deck of 52 cards. What is the probability of drawing a queen and then a king consecutively from the deck without replacement?
A)
1
338
B)
1
169
C)
2
663
D)
4
663

D

Step-by-step explanation:

So there are 4 queens in a standard deck same with the king. And they said they don't replace so 4/52 times 4/51= 16/2652 = 4/663

(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

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.