Permutation and Combination

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Question 1

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

  • A

    120

  • B

    720

  • C

    2880

  • D

    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?

  • A

    8

  • B

    12

  • C

    16

  • D

    24

Question 3

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

  • A

    1024, 60

  • B

    3125, 60

  • C

    1024, 1024

  • D

    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?

  • A

    700

  • B

    720

  • C

    120

  • D

    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?

  • A

    30

  • B

    15

  • C

    46

  • D

    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?

  • A

    120

  • B

    35

  • C

    24

  • D

    720

Question 7

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

  • A

    20! × 20C18

  • B

    20! × 20P18

  • C

    20! × 21C18

  • D

    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).

  • A

    11

  • B

    12

  • C

    13

  • D

    14

Question 9

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

  • A

    120

  • B

    25200

  • C

    24800

  • D

    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?

  • A

    16

  • B

    32

  • C

    64

  • D

    128

There are 16 questions to complete.

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