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Class 9 · Mathematics

If R(x) = 140 + mx and R(14) - R(7) = 126, what is R(0)?

Class 11 · Mathematics

From (12) distinct letters (5) letters are to be selected containing (a), not containing (b), and containing exactly one of (c,d). How many ways are there?

Class 11 · Mathematics

From (12) friends (6) are to be selected for a trip and at least one of (4) special friends must go. How many ways are there?

Class 11 · Mathematics

From (10) teachers and (12) students a group of (7) people is to be formed with at least (3) teachers. How many ways are there?

Class 11 · Mathematics

How many (6)-element subsets of (A={1,2,3,4,5,6,7,8,9,10,11,12}) contain (1) but do not contain both (5) and (6) together?

Class 11 · Mathematics

How many (6)-element subsets can be formed from (A={1,2,3,4,5,6,7,8,9,10,11,12,13}) that contain (1) and (2) but not (3) and (4)?

Class 11 · Mathematics

Using Pascal's identity (\binom{12}{5}+\binom{12}{6}) is equal to which expression?

Class 11 · Mathematics

From (12) colors (6) colors are to be selected. One fixed color must be included, another fixed color must be excluded, and at least one of two other colors must be included. How many ways are there?

Class 11 · Mathematics

A committee of (6) persons is to be formed from (12) persons and (2) special persons cannot be selected together. How many ways are possible?

Class 11 · Mathematics

From (12) questions (7) are to be solved and at least (3) of the first (5) questions must be solved. How many selections are possible?

Class 9 · Mathematics

If R(x) = 110 + mx and R(12) - R(6) = 90, what is R(0)?

Class 9 · Mathematics

If in (y=120+ax), (y) increases by (88) from (x=6) to (x=14), what is (a)?

Class 11 · Mathematics

From (12) distinct letters (5) letters are to be selected with exactly one of (a,b) and not both (c,d). How many ways are there?

Class 11 · Mathematics

In how many ways can an even number of coins be selected from (12) different coins?

Class 11 · Mathematics

From (12) questions (7) are to be selected and at least (3) of the last (5) questions must be selected. How many selections are there?

Class 11 · Mathematics

From (12) students a team of (6) is to be formed in which (2) special students are either both included or both excluded. How many ways are there?

Class 11 · Mathematics

From (12) chairs (6) chairs are to be selected and none of (4) broken chairs is selected. How many ways are there?

Class 11 · Mathematics

From (12) fruits (5) fruits are to be selected but exactly (2) of (5) special fruits are chosen. How many ways are there?

Class 11 · Mathematics

How many (5)-element subsets can be formed from (A={1,2,3,4,5,6,7,8,9,10,11,12}) that contain (1) and (2) but not (3)?

Class 11 · Mathematics

What is the value of (\binom{13}{6}-\binom{12}{6})?