Parevartan School Mathematics Quiz

If C (n, 12) = C (n, 8), then C (22, n) is equal to

• 231

• 303

• 252

• 210

The number of ways in which a host lady can invite for a party of 8 out of 12 people of whom two do not want to attend the party together is

• ^​10C₄-¹¹C₅

• ​¹²C₈-¹⁰C₆

• ^​10C₈+¹¹C₇

• 2×¹¹C₇+¹⁰C₈

The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is

• 3!× 3!

• 4!× 3!

• 4!

• 2!× 3!

An examination paper contains 12 questions consisting of two parts, A and B. Part A contains 7 questions and part B contains 5 questions. A candidate is required to attempt 8 questions, selecting at least 3 from each part. In how many ways can the candidate select the questions?

• 175

• 380

• 210

• 420

The total number of numbers from 1000 to 9999 (both inclusive) that do not have 4 different digits

• 9000

• 4464

• 4536

• 6000

The number of diagonals that can be drawn by joining the vertices of an octagon is :

• 12

• 20

• 28

• 48

If​ ¹⁵P_r = 2730, then r = ?

• 5

• 3

• 6

• 4

The number of all 4 digit numbers which are all different that can be formed by using the digits 0, 2, 3, 5, 8, 9, is

• 660

• 360

• 1080

• 300

In a room there are 12 bulbs of the same wattage, each having a separate switch. The number of ways to light the room with different amounts of illumination is

• 2​¹²

• 12​² -   1

• 2​¹² -   1

• 2​¹⁰ -   1

The number of three digit numbers having atleast one digit as 5 is

• 648

• 225

• 252

• 246