CBSE Class 11 (Commerce) Permutations and Combinations — practice questions
67 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Commerce) Permutations and Combinations in the app →The angle 90° in radians is:The exact value of cos 60° is:The double angle formula sin 2A equals:Which statement correctly defines a permutation?In a combination of objects, which feature is not important?The symbol n factorial denotes the product of the first n numbers of which kind?What value is assigned to zero factorial?What is the value of five factorial?What is the value of seven factorial?What is the value of seven factorial minus five factorial?The number of permutations of n different objects taken r at a time, when repetition is allowed, is given by wHow many four letter words, with or without meaning, can be formed from the letters of ROSE if no letter is reHow many four letter words can be formed from the letters of ROSE if the letters may be repeated?Signals are made by arranging 2 flags one above the other from 4 flags of different colours. How many signals How many two digit even numbers can be formed from the digits 1, 2, 3, 4 and 5 if the digits may be repeated?The number of permutations of n objects, where p of them are of the same kind and the rest are all different, Which relation connects the number of permutations and the number of combinations of n things taken r at a timSeven points lie on a circle. How many chords can be drawn by joining these points pairwise?Taking 2 at a time from 4 different objects, how many combinations are there?In how many ways can a committee of 3 persons be formed from 5 persons?Which Indian tradition treated permutations and combinations as a self-contained subject under the name VikalpMohan owns 3 pants and 2 shirts. How many different pant-shirt pairs can he wear?The value of 0! is defined to beHow many 3-letter words, without repeating a letter, can be formed from the letters of NUMBER?If repetition is allowed, how many 3-letter words can be formed from the letters of NUMBER?What is the value of 7P2?In how many ways can nothing be selected from n different things?Which of the following equals 12C10?The expression n!/(n - 2)! simplifies toThe number of permutations of n different objects taken all at a time isGiven that 10C3 = 120, what is 10P3?Twelve people each shake hands once with every other. How many handshakes occur?How many distinct arrangements are there of the letters of the word ROOT?A lock has 4 wheels marked 0 to 9. The first digit is 7 and no digit repeats. How many sequences remain?How many 4-digit numbers have no repeated digit?How many 4-digit numbers can be formed from the digits 1 to 9 with no repetition?A chairman and a vice chairman are chosen from 8 persons. How many ways?How many words can be formed using all letters of EQUATION once each?How many distinct arrangements does MISSISSIPPI have?Which statement describes a combination?A permutation is best described asFrom 6 candidates, how many ways can a president and a secretary be chosen?In how many ways can 5 people occupy 3 chairs in a row, one person per chair?How many 2-letter codes come from A, B, C, D, E if letters may repeat?If nP2 = 90, what is n?If 15C4 = 15Cx and x is not 4, what is x?How many ways can 4 cards be chosen from a standard deck of 52?How many 5-card hands from 52 cards contain exactly one ace?A team of 5 has 3 boys and 2 girls from 5 boys and 4 girls. How many ways?How many diagonals does a hexagon have?How many triangles can be formed from 7 points, no three of them collinear?In how many ways can 4 different books be arranged on a shelf?In how many ways can 7 students stand in a row?Five people stand in a row with two named persons always together. How many ways?In how many ways can 6 people sit around a round desk, rotations being the same?In nPr = nCr x r!, what does the factor r! count?Which Jain scholar, around 850, is credited with general formulae for permutations and combinations?Which Sanskrit scholar's Chhanda Sutra gives a method of counting combinations of letters?Bhaskaracharya treated permutations and combinations under which name in Lilavati?Sushruta Samhita says 6 different tastes give how many combinations when taken one, two, and so on?Who wrote Ars Conjectandi?In which year did Levi Ben Gerson give the general formula for nCr?Which Chinese book of changes contains early beginnings of permutations and combinations?The number nCk is also known by which name?The identity C(n, k) = C(n, n - k) can be explained byPascal's triangle is built from which recursion on combinations?Why is n!/(k!(n-k)!) the count of k-combinations?