JEE MATHEMATICS MCQ: COMBINATIONS

1 Medium

1 of 1

Application +4 | -1

Seven people leave their bags outside temple and while returning after worshiping the deity, picked one bag each at random. In how many ways at least one and at most three of them get their correct bags?

View answer and explanation

Correct option: A

{ }^7 C_3 \cdot 9+{ }^7 C_5 \cdot 44+{ }^7 C_1 \cdot 265

The correct answer is A (

{}^7 C_3 \cdot 9+{}^7 C_5 \cdot 44+{}^7 C_1 \cdot 265

) because it correctly calculates the number of ways for at least one and at most three people to get their correct bags using derangements.

More Questions from COMBINATIONS

Practice All Chapter MCQs →

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 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}}

, then

n

is equal to