COMBINATION WORD PROBLEMS WORKSHEET

Problem 1 :

How many different teams of 4 can be selected from a squad of 7 if,

i) there are no restrictions

ii) the teams must include the captain ?

Solution

Problem 2 :

If there are 12 persons in a party and if each two of them shake hands with each other, how many handshakes happen in the party ?

Solution

Problem 3 :

A question paper has two parts, Part A and Part B each containing 10 questions. If a student to choose 8 from Part A and 5 from Part B, in how many ways can he choose the questions ?

Solution

Problem 4 :

In how many ways a committee of 5 members can be selected from 6 men and 5 women consisting of 3 men and 2 women ?

Solution

Problem 5 :

In how many ways can a cricket eleven be chosen out of a batch of 15 players if

i) there is no restriction on the selection

ii)  a particular players is always chosen ?

iii)  a particular player is never chosen ?

Solution

Problem 6 :

How many chords can be drawn through 21 points on a circle?

Solution

Problem 7 :

From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide either all of them will join or none of them will join. In how many ways can they be chosen ?

Solution

Answer Key

1)  15 ways

2)  66 handshakes

3)  11340

4)  200 ways

5)  i)  1365    ii)  1001     iii)  364

6)  210

7)  817190

Recent Articles

  1. Solving Direct and Inverse Proportion Word Problems Worksheet

    Sep 22, 23 08:41 AM

    Solving Direct and Inverse Proportion Word Problems Worksheet

    Read More

  2. Round the Decimals to the Nearest Indicated Place Value

    Sep 22, 23 06:13 AM

    Round the Decimals to the Nearest Indicated Place Value

    Read More

  3. Multiplying Two Fractions

    Sep 22, 23 06:09 AM

    Multiplying Two Fractions

    Read More