Solve the problem.
-In a state lottery, a player wins the grand prize by choosing the same group of 4 numbers from 1 through 45 as is chosen by the computer. How many 4-number groups are possible?
A) 1,080
B) 148,995
C) 4,100,625
D) 3,575,880

Question

Quizplus · Accepted Answer

The number of 4-number groups that can be chosen from 45 numbers is calculated using the combination formula, which is C(n, r) = n! / [r!(n - r)!], where n is the total number of items, and r is the number of items to choose. Here, n = 45 and r = 4, so the calculation is C(45, 4) = 45! / [4!(45 - 4)!] = 45! / (4! * 41!) = (45 * 44 * 43 * 42) / (4 * 3 * 2 * 1) = 148,995.

Solve the Problem. -In a State Lottery, a Player Wins the Grand Prize