Permutation and Combination

Question 1

What is the number of possible words that can be made using the word “EASYQUIZ” such that the vowels always come together?

• 120
• 720
• 2880
• 4320

Question 2

What is the number of possible words that can be made using the word “QUIZ” such that the vowels never come together?

• 8
• 12
• 16
• 24

Question 3

How many words can be made from the word “APPLE” using all the alphabets with repetition and without repetition respectively?

• 1024, 60
• 60, 1024
• 1024, 1024
• 240, 1024

Question 4

How many ways a 6 member team can be formed having 3 men and 3 ladies from a group of 6 men and 7 ladies?

• 700
• 720
• 120
• 500

Question 5

In how many ways can an interview panel of 3 members be formed from 3 engineers, 2 psychologists and 3 managers if at least 1 engineer must be included?

• 30
• 15
• 46
• 45

Question 6

How many 4-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 which are divisible by 5 when none of the digits are repeated?

• 120
• 35
• 24
• 720

Question 7

In how many ways can 20 boys and 18 girls make a queue such that no two girls are together?

• 20!* ²⁰C₁₈
• 20!* ²⁰P₁₈
• 20!* ²¹C₁₈
• 20!* ²¹P₁₈

Question 8

There are 5 floating stones on a river. A man wants to cross the river. He can move either 1 or 2 steps at a time. Find the number of ways in which he can cross the river? (Man can\'t take double step from last stone).

• 11
• 12
• 13
• 14

Question 9

Out of 7 boys and 4 girls, how many queues of 3 boys and 2 girls can be formed?

• 120
• 25200
• 24800
• 1440

Question 10

A box contains 2 red coins, 3 green coins and 4 blue coins. In how many ways can 3 coins be chosen such that at least one coin is green?

• 16
• 32
• 64
• 128