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PERMUTATION & COMBINATION BASIC MCQs -6
1.
In how many ways can a committee be selected from 15 persons if the committee is to have I. 3 members. II. 13 members.
455 ; 105
455 ; 104
455 ; 103
451 ; 102
2.
In how many ways can a student choose a programme of 5 courses if 9 courses area available and 2 courses are compulsory for every student?
32
33
34
35
3.
Determine the number of 5 card combination out of a deck of 52 cards if at least one of the five cards has to be a king.
886656
885656
885665
885566
4.
A question paper has two parts, part A and part B, each containing 10 questions. If the student has to choose 8 question from part A and 5 from part B, in how many ways can he choose the questions?
11339
11340
11341
11342
5.
A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?
10 ; 6
11 ; 6
12 ; 6
13 ; 6
6.
In an examination, Yamini has to select 4 questions from each part. There are 6, 7 and 8 question in part I part 2 and part 3, respectively. What is the number of possible combinations in which she choose the questions?
36749
36750
36751
36752
7.
In class 11 examination, a candidate has to pass in all the five subjects taken in order to be declared as pass. In how many ways can he fail?
30
31
32
33
8.
A mathematics paper consists of 10 questions divided into two parts I and 2. Each part containing 5 questions. A student is required to attempt 6 question in all, talking at least 2 question from each part. In how many ways can the student select the questions?
100
200
300
400
9.
A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has I. No girls? II. At least one boy and one girl? III. At least three girls?
21 ; 441 ; 91
22 ; 442 ; 92
21 ; 443 ; 93
24 ; 444 ; 94
10.
How many words each of 3 vowels and 2 consonants, can be formed from the letters of the word ‘INVOLUTE’?
24
2880
26
2280
Answers
1 -> A
2 -> D
3 -> A
4 -> B
5 -> A
6 -> B
7 -> B
8 -> B
9 -> A
10 -> B