The number of ways to pick 6 different numbers from 1 to 40 in a state lottery is 3,803,830. assuming order is unimportant, what is the probability of picking exactly 4 of the 6 numbers correctly?

To play, we first choose 6 numbers out of 40. (Odds of matching all 6 numbers is 1 in 3,803,830.)

Then we have to match 4 of the 6 winning numbers. In how many ways can 4 numbers be chosen from the winning 6? We use the formula n! / [r! * (n-r)!]

6! / [4! * 2!] = (6 * 5) / 2 which equals 15

Since we can ONLY match 4 numbers, we must determine how many ways we can choose 2 numbers from the remaining 34 LOSING numbers.

34! / [ 2! * (34 -2)!] = (34 * 33) / 2 which equals 561.

Next we multiply 15 * 561 which equals the number of ways we can choose 4 of the 6 WINNING numbers plus 2 of the 34 LOSING numbers.

15 * 561 = 8,415

FINALLY, we divide that number by 3,803,830 which gives us the probability of choosing EXACTLY four of the six winning numbers from a set of 40.

8,415 / 3,803,830 / = 0.00221224397515136

Source 1728.com/puzzle.htm (See puzzle #14)

(That question is probably a little bit tougher than you thought, right?)

the first option is the answer.

no because after the troops were pulled many blacks were killed by hangings lynchings and other cruel ways which in a way interrupted the reconstruction of the south and differed from the way abraham lincoln had an idea of reconstruction