JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

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Application +4 | -1

The total number of all proper factors of 75600 is

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Correct option: C

118

Option C (118) is correct because it calculates the total number of factors and subtracts 1 (for the number itself) to get the number of proper factors.

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A rectangle of dimension

m \times n

(

m

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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.

A

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

, then

n

is equal to