-4 and 2 are 3 units away from -1
Answer: 15 players.
Step-by-step explanation:
number of games played in the tournament = 105 games
nunber of games played by each player against another = 1 game each.
Solution:
Number if player who participated in the tournament.
if each player played a game against every other player, and they were 105 games played at the tournament.
n ( n – 1 ) /n = m
= n ( n – 1 ) 2 = 105
open the bracket
n^2 – n = 210
n^2 – n – 210 = 0
( n – 15 ) ( n + 14 ) = 0
n = 15
15 players Participated In the tournament.
Answer: P(odd) = 0.499
Step-by-step explanation:
Given:
Total number of people = 20
Number of men = 12
Number of women = 8
Number of jury to be selected = 6
For the jury to have an odd number of women. it must have either of the three.
1. 1 woman , 5 men
2. 3 women, 3 men
3. 5 women, 1 man
The total possible ways of selecting the 6 people jury is;
N = 20C6 = 20!/6!(20-6)!
N = 38760
The possible ways of selecting;
Case 1 : 1 woman, 5 men
N1 = 8C1 × 12C5
N1 = 8 × 792 = 6336
Case 2 : 3 women , 3 men
N2 = 8C3 × 12C3
N2 = 12320
Case 3 : 5 women, 1 man
N3 = 8C5 × 12C1
N3 = 672
P(Odd) = (N1+N2+N3)/N
P(odd) = (6336+12320+672)/38760
P(odd) = 19328/38760
P(odd) = 0.499