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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