Find the number of diagonals forms in hexagon.


A) 12

B) 10

C) 6

D) 9

Correct Answer:
D) 9

Description for Correct answer:
Hexagon has 6 sides.

N = 6
So required number of diagonals

= \( nC_2 � n = 6C_2 - 6 \)

=\( \large\frac{6!}{2!(6 - 2)!} - 6 = \frac{6!}{2!4!} - 6\)

= \( \large\frac{6 X 5 X 4!}{2 X 4!} - 6 = 15 � 6 = 9\)

Part of solved Permutation and combination questions and answers : >> Aptitude >> Permutation and combination








Comments

No comments available




Similar Questions
1). A question paper consists of two sections having respectively 3 and 5 questions. The following note is given on the paper. "It is not necessary to attempt all the questions". One question from each section is compulsory. In how many ways, a candidate...
A). 38
B). 217
C). 256
D). 320
-- View Answer
2). Find the number of combinations that can be formed with 5 oranges, 4 mangoes and 3 bananas, when one fruit of each kind is taken.
A). 60
B). 120
C). 110
D). 75
-- View Answer
3). In how many ways, 12 balls can be divided between two boys, one receiving 5 and the other 7 balls?
A). 1784
B). 1584
C). 1854
D). 1560
-- View Answer
4). There are 10 stations in a railway line. The number of different journey tickets that are required by the authorities, is
A). 92
B). 90
C). 91
D). 93
-- View Answer
5). There are 10 questions in a question paper. In how many ways, a student can solve these questions, if he solves one or more questions?
A). 1024
B). 1025
C). 1023
D). 1000
-- View Answer


6). What is the probability that a card drawn at random from a pack of 52 cards either a king or a spade?
A). 17/52
B). 4/13
C). 3/13
D). 13/52
-- View Answer
7). A card is drawn from a well-shuffled pack of cards. The probability of getting a queen of club or a king of heart is
A). 1/52
B). 1/26
C). 1/13
D). 1/39
-- View Answer
8). One card is drawn at random from a well-shuffled pack of 52 cards. What is the probability that the card is either a red card or a king?
A). 1/3
B). 7/13
C). 10/13
D). None of these
-- View Answer
9). A single letter is selected at random from the word "PROBABILITY". The probability that it is a vowel, is
A). 3/11
B). 4/11
C). 2/11
D). 0
-- View Answer
10). The probability that a leap year selected at random contains 53 Sundays, is
A). 7/366
B). 26/183
C). 1/7
D). 2/7
-- View Answer