Permutation and Combination - Question A Day - CAT 2008
April 17, 2002 › How many number of times will the digit ‘7' be written when listing the integers from 1 to 1000? Solution »
May 09, 2002 › 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 Solution »
June 10, 2002 › There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song? Solution »
July 10, 2002 › In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together? Solution »
July 17, 2002 › 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? Solution »
August 30, 2002 › How many five digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 which are divisible by 3, without repeating the digits? Solution »
September 03, 2002 › How many words can be formed by re-arranging the letters of the word PROBLEMS such that P and S occupy the first and last position respectively? Solution »
September 16, 2002 › Four dice are rolled simultaneously. What is the number of possible outcomes in which at least one of the die shows 6? Solution »
October 24, 2002 › There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers? Solution »
March 05, 2003 › How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and last position respectively? Solution »
Arpil 10, 2003 › There are 12 yes or no questions. How many ways can these be answered? Solution »
Arpil 30, 2003 › How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes? Solution »
May 20, 2003 › 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?Solution »
May 30, 2003 › How many numbers are there between 100 and 1000 such that atleast one of their digits is 6?Solution »
June 6, 2003 › How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?
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June 19, 2003 › 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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August 20, 2003 › In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?Solution »
September 02, 2003 › When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?Solution »
September 04, 2003 › 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?Solution »
September 08, 2003 › 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?Solution »
October 08, 2003 › How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?Solution »
November 18, 2003 › Badri has 9 pairs of dark Blue socks and 9 pairs of Black socks. He keeps them all in a same bag. If he picks out three socks at random what is the probability he will get a matching pair?Solution »
March 23, 2004 › In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes? Solution »
June 01, 2004 › There are 6 boxes numbered 1, 2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is Solution »
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