EASY
11th CBSE
IMPORTANT
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From 4 officers and 8 jawans in how many ways can 6 be chosen to include exactly one officer.

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Important Questions on Combinations

EASY
11th CBSE
IMPORTANT
From 4 officers and 8 jawans in how many ways can 6 be chosen to include at least one officer?
EASY
11th CBSE
IMPORTANT
A sports team of 11 students is to be constituted, choosing at least 5 from class XI and at least 5 from class XII. If there are 20 students in each of these classes, in how many ways can the teams be constituted?
EASY
11th CBSE
IMPORTANT
A student has to answer 10 questions, choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can the student choose 10 questions?
EASY
11th CBSE
IMPORTANT
In an examination, a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. Determine the number of ways in which the student can make the choice.
MEDIUM
11th CBSE
IMPORTANT
A candidate is required to answer 7 questions out of 12 questions which are divided into two groups, each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. In how many ways can he choose the 7 questions?
EASY
11th CBSE
IMPORTANT
There are 10 points in a plane of which 4 are collinear. How many different straight lines can be drawn by joining these points.
EASY
11th CBSE
IMPORTANT

Find the number of diagonals of a hexagon

EASY
11th CBSE
IMPORTANT
Find the number of diagonals of a polygon of 16 sides.