CAT Permutations and Combinations — practice questions
36 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CAT Permutations and Combinations in the app →The factorial of a non-negative integer $n$, denoted $n!$, is defined asThe number of PERMUTATIONS of $n$ distinct objects taken $r$ at a time is denoted $P(n,r)$ or $^nP_r$ and equaThe number of COMBINATIONS of $n$ distinct objects taken $r$ at a time, denoted $C(n,r)$ or $\binom{n}{r}$, isFind the number of arrangements of all the letters in the word 'CAT'.Find the number of distinct arrangements of all the letters in the word 'MISSISSIPPI'.How many ways can 5 people be seated around a CIRCULAR table?From a group of 8 people, how many ways can a COMMITTEE of 3 be selected?In how many ways can the letters of the word 'TRIANGLE' be arranged such that all the VOWELS are TOGETHER?How many distinct 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 (each digit can be used at MThe number of ways to select 2 boys and 3 girls from a group of 5 boys and 4 girls isHow many distinct 'numbers' (with REPETITION ALLOWED) can be formed using the digits 0, 1, 2, 3 in 4 places (tFind the number of ways a person can travel from city A to city C if there are 3 routes from A to B and 2 rout$\binom{n}{r} + \binom{n}{r-1}$ equalsHow many DIAGONALS does a regular DECAGON (10-sided polygon) have?Mohan owns 3 pants and 2 shirts. The number of pant and shirt pairs he can wear is:Sabnam has 2 school bags, 3 tiffin boxes and 2 water bottles. Choosing one of each, she can carry them in:If one event can happen in m ways and then another in n ways, the pair happens in:Four letter words from the letters of ROSE, with no letter repeated, number:If letters may repeat, the number of four letter words from R, O, S and E becomes:With 4 flags of different colours, signals using 2 flags one below the other number:Two digit even numbers formed from the digits 1, 2, 3, 4, 5 with repetition allowed number:Using 5 different flags, signals of at least 2 flags on a staff number:Three digit numbers from the digits 1 to 5, with repetition allowed, number:Three digit numbers from the digits 1 to 5, with no digit repeated, number:An arrangement in a definite order of objects taken some or all at a time is a:Choosing 2 objects out of 3 without caring about order gives each result the name:The product 1 times 2 times 3 up to n is written as:The value of 5 factorial is:The value of 6 factorial is:The number of permutations of n different objects taken r at a time, with no repetition, is written as:Permutations of n objects where p are alike and the rest all differ number:The relation linking arrangements and selections of r objects from n is nPr equals:The number of ways to arrange all 5 different flags on a staff is:Three digit even numbers from the digits 1 to 6, with repetition allowed, number:Signals using exactly 3 flags out of 5 different flags number:Signals using exactly 4 flags out of those 5 different flags number: