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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

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Application +4 | -1

A person is permitted to select at least one and at most

n

coins from a collection of

2n + 1

(distinct) coins. If the total number of ways in which he can select coins is 255, then

n

equals

View answer and explanation

Correct option: A

4

Option A (4) is correct because solving the binomial equation derived from the problem statement leads to n=4.

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m \times n

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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.

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

n