JEE MATHEMATICS MCQ: COMBINATIONS

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All possible two-factor products are formed from the no numbers 1,2,…,100. The number of factors out of the total obtained which are multiple of 3 is

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Correct option: C

2739

Option C (2739) is correct because it calculates the total number of two-factor products and subtracts the number of products that are not multiples of 3.

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A rectangle of dimension

m \times n

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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.

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

, then

n

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