JEE MATHEMATICS MCQ: COMBINATIONS

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The number of ways selecting three numbers from 1 to 30, so as to exclude every selection of three consecutive number is:

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Correct option: C

4032

Option C (4032) is correct because it calculates the total number of ways to select three numbers from 1 to 30 and subtracts the number of ways to select three consecutive numbers.

More Questions from COMBINATIONS

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A rectangle of dimension

m \times n

(

m

and

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 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}}

, then

n

is equal to If the ratio

{ }^{2 n} {C}_3:{ }^n {C}_3

is equal to

11: 1, n

equals