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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

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Consider the following statements:

Statement I: The number of diagonals of

n-\text{sided}

polygon is

{ }^n C_2-n

.

Statement II: A polygon has 44 diagonals. The number of its sides are 10.

Choose the correct option from the choices given below.

View answer and explanation

Correct option: A

Only I is true

Option A (6) is correct because there are 6 ways to choose 2 objects from 4 distinct objects without regard to order.

More Questions from COMBINATIONS

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A rectangle of dimension

m \times n

m

n

being odd) is divided into square of unit length by drawing horizontal and vertical lines. The number of rectangles having side of odd unit length is The number of ways selecting three numbers from 1 to 30, so as to exclude every selection of three consecutive number is: Team A consists of 7 boys and n girls and Team B has 4 boys and 6 girls. If a total of 52 single matches can be arranged between these two teams, when a boy plays against a boy and a girl plays against a girl, then n is equal to The number of ways choosing a committee of 4 woman and 5 men from 10 women and 9 men, if Mr.

A

refuses to serve on the committee when Ms.

B

is a member of the committee, is A man has 7 friends. In how many ways he can invite one or more of them for a tea party? If

{\;^{n + 2}}{C_8}:{\;^{n - 2}}{P_4} = \frac{{57}}{{16}}

n