Mettl Permutation and Combination Quiz 1

Question 1

Time: 00:00:00
There are 4 spades, 7 hearts, and 6 diamonds in a set of cards. In how many ways can a person make a selection of cards from the set.

269

269

280

280

279

279

281

281

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Question 2

Time: 00:00:00
In How many ways 4 Maruti, 5 BMW, and 7 Audi’s can be arranged in a row so that cards of the same company are arranged together?

4! 5! 7! 3!

4! 5! 7! 3!

4! 5! 7!

4! 5! 7!

4! 6! 7! 3!

4! 6! 7! 3!

None of these

None of these

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Question 3

Time: 00:00:00
In how many ways 5 Cycles and 5 Scooter are placed along a circular platform, so they are placed in alternative positions

5! 5!

5! 5!

6! 4!

6! 4!

5! 4! 2!

5! 4! 2!

4! 5!

4! 5!

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Question 4

Time: 00:00:00
When Issac Newton goes for Paragliding he got fascinated by the term and thought in how many ways can the letters of the word ‘PARAGLIDING’ be arranged such that all the vowels occur together?

88322 ways

88322 ways

120960 ways

120960 ways

740 ways

740 ways

144868

144868

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Question 5

Time: 00:00:00
Vishwanath Anand instead of playing Chess today thought of playing Snake & Ladder game; he is on 91 and has to get to 100 to complete the game. There is a snake on 93 and 96. In how many ways he can complete the game, if he doesn’t want to roll the dice more than three times.

20

20

15

15

16

16

18

18

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Question 6

Time: 00:00:00
Viswanathan Anand in World Chess Championship notices, a chess board has rows and columns marked A to H and 1-8. Aman has a knight and a rook which he has to place on the board such that the two pieces are not in the same row or column, what is the total number of ways he can place the two pieces?

3072

3072

3136

3136

6272

6272

6144

6144

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Question 7

Time: 00:00:00
In Indian Institute of Technology Main exam 2021 with all the questions mandatory to be answered can be attempted in 127 ways such that the student gets at least one question right. Find the number of ways in which he can answer 4 questions correctly.

44

44

35

35

26

26

Can't be determined

Can't be determined

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Question 8

Time: 00:00:00
A postmaster wants to get delivered 6 letters at six different addresses. In the post office there are 2 postmen then in how many ways can the postmaster send the letters at different addresses through the postmen?

\frac{6!}{2!}

\frac{6!}{2!}

6! \times 2!/latex]</p></div><div class="checkmark"></div><div class="ls-progress-bar"><div class="progress-bar txtblack" role="progressbar" style="" aria-valuenow="25" aria-valuemin="0" aria-valuemax="100"></div> <div class="answer-title-progress"><p>6! \times 2!/latex]</p></div><div class="precentage"> </div> </div></div></div></div><div class="row ls-flex"><div class="col-lg-6 col-md-12 col-sm-12 col-xs-12 mq-answer-div answer-id-440776" data-ansid="440776" data-qstid="8"><div class="answer progress" id="quiz-ans-8-7"><input type="radio" name="ques_ans[7]" value="440776" class="radiobutton anslabel" id="qst8-7" name="answer_id" data-questionid="101367" data-questioncount="8" data-answerid="440776"><div class="ls-ans-title displaynone"><p>64</p></div><div class="checkmark"></div><div class="ls-progress-bar"><div class="progress-bar txtblack" role="progressbar" style="" aria-valuenow="25" aria-valuemin="0" aria-valuemax="100"></div> <div class="answer-title-progress"><p>64</p></div><div class="precentage"> </div> </div></div></div><div class="col-lg-6 col-md-12 col-sm-12 col-xs-12 mq-answer-div answer-id-440777" data-ansid="440777" data-qstid="8"><div class="answer progress" id="quiz-ans-8-8"><input type="radio" name="ques_ans[7]" value="440777" class="radiobutton anslabel" id="qst8-8" name="answer_id" data-questionid="101367" data-questioncount="8" data-answerid="440777"><div class="ls-ans-title displaynone"><p>36</p></div><div class="checkmark"></div><div class="ls-progress-bar"><div class="progress-bar txtblack" role="progressbar" style="" aria-valuenow="25" aria-valuemin="0" aria-valuemax="100"></div> <div class="answer-title-progress"><p>36</p></div><div class="precentage"> </div> </div></div></div></div></div></div></div></div><div class="help-links-div"><div class="ls-mt-correct-content"><p><img src="https://staging.prepinsta.com/wp-content/plugins/lexcis-mtouch-quiz/images/happy-emoji.png"><span>Good Job!</span></p></div><div class="ls-mt-wrong-content"><div class="for-desktop ls-mtouch-wrong-banner"> <div class="card-body wrong-banner-desktop banner-ques-id-desktop-101367 style="padding:2px !important"></div> </div><div class="for-mobile ls-mtouch-wrong-banner"> <div class="card-body " style="padding:2px !important"> <div class="owl-carousel right-widget-banner line-dots banner-ques-id-mobile-101367"></div> </div> </div><p><img src="https://staging.prepinsta.com/wp-content/plugins/lexcis-mtouch-quiz/images/sad-emoji.png"><span>Oops!</span></p></div><ul class="help-links-ul"><li><a href="https://prepinsta.com/permutation-combination/formulas/" class="help-link"><span>Formulas</span></a></li><li><a href="https://prepinsta.com/permutation-combination/tips-and-tricks-and-shortcuts/" class="help-link"><span>Tricks and Tips</span></a></li><li><a href="javascript:void(0)" class="help-link report reportquestionbtn" id="reportquestionbtn" data-qstid="101367" data-quizid="11893"><span>Report the answer</span></a></li></ul></div><div style="width: 100%; display: inline-block;"> <button class="btn pull-left anslabel skip_button" type="button" data-questioncount="8" data-questionid="101367" data-answerid="skipped" style=" padding: 6px 20px;width: auto;">Skip</button><button class="btn pull-right exp_hide_show" type="button" data-toggle="collapse" data-target="#explanation-8" aria-expanded="false" style="padding: 10px 25px;">Show Explanation <i class="fas fa-chevron-down" style="font-size: 10px; "></i></button></div><div class="explanation collapse in" id="explanation-8"><div class="toggle-tab tab text-center"><ul class="tabs quiz-tabs quiz-tabs101367 "><li class="tab-link current" data-tab="prep101367" data-mainid="101367"><div>PrepInsta Explanation</div></li><li class="tab-link" data-tab="user101367" data-mainid="101367"><div>User Explanation</div></li></ul></div><!--<div class="explanatoindiv">Question Explanation</div>--> <div class="tab-content101367"><div id="prep101367" class="tab-content current tab-contentprep101367 prepexplanation_101367"><div class="default_prep101367">Once you attempt the question then PrepInsta explanation will be displayed.</div><div class="correct_prep101367" style="display:none"><p><strong>Solution:</strong><br /> Each letter can be delivered to the six different addresses in 2 different ways<br /> <br /> Hence, the required number of ways = 2^{6} = 64

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Question 9

Time: 00:00:00
In Schrodinger's Cat Condition a box contains 2 white cats, 3 black cats and 4 red cats. In how many ways can 3 cats be drawn from the bag if at least one cat ball is to be included in the draw?

86

86

68

68

46

46

64

64

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Question 10

Time: 00:00:00
Using all the letters of the word "DISCOUNT", how many different 8 letter words can be formed?

8!

8!

7

7

8

8

7!

7!

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["0","40","60","80","100"]
["Need more practice!","Keep trying!","Not bad!","Good work!","Perfect!"]
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