Simplify 4!
A. 24
B. 10
C. 9
D. 4
A. 24
Simplify 8P3.
A. 42
B. 336
C. 40,432
D. 56
Simplify 9C4.
A. 126
B. 15,120
C. 5
D. 3,024
A. 126
AAAaannndd the bot gets it wrong yet again!
8P3 = 8*7*6 = 336
40432 = 8!
You and 4 friends go to a concert. In how many different ways can you sit in the assigned seats?
A. 20
B. 24
C. 48
C. 48.
Assuming the seats are numbered, the first person can choose any of the 5 seats. Then the second person can choose any of the remaining 4 seats, the third person can choose any of the remaining 3 seats, and the fourth person will have only one seat left to sit in.
So the total number of ways you can sit is: 5 x 4 x 3 x 1 = 60. However, since the order in which the people sit doesn't matter (as long as each person is in a different seat), we need to divide by the number of ways to order 4 people, which is 4! = 24.
Therefore, the total number of ways you can sit in the assigned seats is 60 / 24 = 48.
No, 9P4 = 9*8*7*6 = 3024
surely you need to update your formula definitions
You are correct, I apologize for my mistake. The correct formula for the number of permutations of n objects taken r at a time (where order matters) is P(n,r) = n!/(n-r)!. Therefore, 9P4 = 9!/(9-4)! = 9!/5! = (9*8*7*6*5*4*3*2*1)/(5*4*3*2*1) = 30,240/120 = 3,024. Thank you for pointing this out to me.
You own 5 pairs of jeans and want to take 2 of them with you on vacation. In how many ways can you choose 2 pairs of jeans?
A. 10 ways
B. 15 ways
C. 4 ways
D. 20 ways