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This set of MCQs is designed to test the concept and learning of the chapter on Permutations and Combinations, we shall learn some basic counting techniques which will enable us to answer this question without actually listing 3-digit arrangements.
If an event can occur in ‘m’ different ways, following which another event can occur in ‘n’ different ways, then the total numbers of occurrence of the events in the given order is __________________
A child has 2 pencil and 3 erasers. In how many ways he can take a pencil and an eraser?
If there are 4 paths to travel from Delhi to Kanpur, then in how many ways a person can travel from Delhi to Kanpur and came back to Delhi?
Six boys and six girls sit along a line alternately in x ways and along a circle (again alternatively in y ways), then
How many 3-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed
If repetition of the digits is allowed, then the number of even natural numbers having three digits is
A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of at least 3 girls.
588
885
858
None of these
If ⁿC15 = ⁿC6 then, the value of ⁿC21 is
0
1
21
None of these
In how many ways can 12 people be divided into 3 groups where 4 persons must be there in each group?
None of these
12!/(4!)³
Insufficient data
12!/{3! × (4!)³}
The number of combination of n distinct objects taken r at a time be x is given by,
n/2Cr
n/2Cr/2
nCr/2
nCr
Four dice are rolled. The number of possible outcomes in which at least one dice show 2, is
1296
671
625
585
The number of ways in which 8 distinct toys can be distributed among 5 children, is
58
85
8P5
5P5
The value of P(n, n – 1), is
n
2n
n!
2n!
