There are five women and six men in a group. From this group a committee of 4 is to be chosen. How many different ways can a committee be formed that contain three women and one man?
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Aptitude · all questionsPermutation And Combination
Permutation And Combination
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Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct.
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In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit facing forward and 3 facing towards the rear while 3 others are indifferent. In how many ways can the 10 passengers be seated?
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There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in:
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A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?
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A family consist of a grandfather, 5 sons and daughter and 8 grandchildren. They are to be seated in a row for dinner. The grandchildren wish to occupy the 4 seats at each end and the grandfather refuses to have a grandchild on either side of him. The number of ways in which the family can be made to sit is:
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If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?
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In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?
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What is the value of 1 × 1! + 2 × 2! + 3 × 3! + . . . . . . . . n × n!
where n! means n factorial or n(n-1) (n-2) . . . . . . . . 1
where n! means n factorial or n(n-1) (n-2) . . . . . . . . 1
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When six fair coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads?
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A college has 10 basketball players. A 5 member's team and a captain will be selected out of these 10 players. How many different selections can be made?
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How many four letter distinct initials can be formed using the alphabets of English language such that the last of the four words is always a consonant?
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What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such that each of them gets at least one gift?
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How many number of times will the digit 7 be written when listing the integers from 1 to 1000?
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In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?
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In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?
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A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?
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A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 10 cups of tea are prepared, 5 in one way and 5 in other. Find the different possible ways of presenting these 10 cups to the expert.
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A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. The shortlist consists of 9 men and 6 women. In how many ways can this committee be formed?
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How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?
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