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

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