combination

The above diagram shows 12 number cards. In how many ways can 7 cards be selected such that 4 cards are labelled with even numbers and the remaining cards are labelled with odd numbers?

(a)  

How many ways can two letters be chosen from the word SYN and three letters from the word DROME?

(a)  

A group of professionals comprises of three lawyers, two teachers and five accountants. A committee of four members is selected from these professionals. Calculate the number of ways to form the committee if there are one lawyer, one teacher and two accountants

(a)  

Given the word SWITZERLAND, find the number of different ways to choose four letters of the word such that all the letters are consonants

(a)  

A swimming club comprises of 10 members is to be formed from 7 males and 6 females. How many clubs can be formed if there is no restriction on the gender?

(a)  

There are 15 different books. How many groups of 6 books can be selected?

• 3603600

• 720

• 5005

• 500

From a group of 10 men and 12 women, how many committees of 5 men and 6 women can be formed?

• 232848

• 252

• 792

• 924

From a standard deck of 52 cards, how many ways can 5 cards be drawn?

• 3 118 752

• 2 589 960

• 120

• 2 598 960

A supervisor will choose a shift of four workers from a seven person crew. How many different shifts of four workers can the supervisor choose?

• 5040

• 144

• 840

• 35

• 517

• 571

• 751

• 715