Permutation & Combination

A committee of 3 boys and 3 girls are to be formed from 10 boys and 11 girls.

In how many ways can the committee be formed?

• 712000

• 712800

• 19800

• 18900

How many 4-letter codes can be formed using the letters in the word 'GRACIOUS' without repetition such that the first letter is a vowel?

• 840

• 210

• 140

• 35

Find the number of ways of choosing 6 letters including the letter G from the word 'GRACIOUS'.

• 2500

• 2520

• 21

• 30

How many 3-digit numbers that are greater than 400 can be formed using the digits 1, 2, 3, 4, and 5  without repetition?

• 12

• 24

• 6

• 30

How many 4-digit even numbers can be formed using the digits 1, 2, 3, 4, and 5  without repetition?

• 24

• 45

• 25

• 48

Diagram shows 4 letters and 4 digits.

 

A   B   C   D      5   6   7   8

 

 

A code is to be formed using those letters and digits. The code must consists of 3 letters followed by 2 digits. How many codes can be formed if no letter or digit is repeated in each code ?

• 288

• 280

• 24

• 25

A badminton team consists of 8 students. The team will be chosen from a group of 8 boys and 5 girls. Find the number of teams that can be formed such that each team consists of 5 boys.

• 403200

• 403000

• 560

• 550

Diagram shows five cards of different letters.

R A J I N

 

Find the number of these arrangements in which the letters A and N are side by side.

• 24

• 42

• 48

• 84

How many 5-digit numbers that are greater than 50000 can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 without repetition?

• 4800

• 530

• 350

• 8400

How many 4-digit even numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 without any

digit being repeated?

• 80

• 180

• 30

• 130