Mathematics MCQs

Page No. 41

In how many ways can live boys and three girls sit in a row such that all boys sit together?


a4800

✖


b5760

✖


c2880

✓


d15000

✖


View Answer 2880

The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.


a4000

✖


b2160

✖


c4320

✓


d5300

✖


View Answer 4320

A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?


a20

✓


b54

✖


c42

✖


d60

✖


View Answer 20

The number of new words that can be formed by rearranging the letters of the word ‘ALIVE’ is__________?


a24

✖


b23

✖


c119

✓


d120

✖


View Answer 119

Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together?


a720

✖


b1440

✓


c1860

✖


d2160

✖


View Answer 1440

A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?


a300

✖


b600

✓


c750

✖


d900

✖


View Answer 600

A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?


a300

✖


b450

✖


c600

✓


d750

✖


View Answer 600

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?


a¹²C₅ * 10

✖


b¹²C₇ * 10

✖


c¹²C₇ * ¹⁰C₅

✓


d12 * ¹⁰C₅

✖


View Answer ¹²C₇ * ¹⁰C₅

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?


a²²C₁₀

✖


b²²C₁₀ + 1

✖


c²²C₉ + ¹⁰C₁

✖


d²²C₁₀ – 1

✓


View Answer ²²C₁₀ – 1

Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?


a29

✖


b32

✓


c55

✖


d30

✖


View Answer 32

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