Class 11

Math

Algebra

Permutations and Combinations

A boat's consist of 8 men, 3 of whom can only row on one side, 2 only on the other. The number of ways the crew can be arranged is

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked on the sides AB, BC, CD, and DA, respectively. The number of triangles with vertices on different sides is (A) $270$ (B) $220$ (C) $282$ (D) $342$

Statement 1: number of ways in which 10 identical toys can be distributed among three students if each receives at least two toys is $_{6}C_{2}˙$ Statement 2: Number of positive integral solutions of $x+y+z+w=7is_{6}C_{3}˙$

Find the number of ways in which $5A_{prime}sand6B_{′}s$ can be arranged in a row which reads the same backwards and forwards.

Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.

Let $S={1,2,3,4}$ . The total number of unordered pairs of disjoint subsets of $S$ is equal a.$25$ b. $34$ c. $42$ d. $41$

A man has three friends. The number of ways he can invite one friend everyday for dinner on six successive nights so that no friend is invited more than three times is a. $640$ b. $320$ c. $420$ d. $510$

Total number less than $3×10_{8}$ and can be formed using the digits 1, 2, 3 is equal to a. $21 (3_{9}+4×368)$ b. $21 (3_{9}−3)$ c. $21 (7×3_{8}−3)$ d. $21 (3_{9}−3+3_{8})$

If $_{n}C_{8}=_{n}C_{2},$ Solve $_{n}C_{2}$