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?

Related Mcqs:

1. 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?

   A. ¹²C₅ * 10
   B. ¹²C₇ * 10
   C. ¹²C₇ * ¹⁰C₅
   D. 12 * ¹⁰C₅

2. 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?

   A. 300
   B. 600
   C. 750
   D. 900

3. 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?

   A. 300
   B. 450
   C. 600
   D. 750

4. The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally?

   A. 4
   B. 5
   C. 6
   D. 7

5. What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?

   A. 100
   B. 60
   C. 30
   D. 20

6. In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?

   A. 25
   B. 13
   C. 40
   D. 30

7. In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?

   A. 400
   B. 500
   C. 600
   D. 20

8. A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is_________?

   A. 11 hrs
   B. 8 hrs 45 min
   C. 7 hrs 45 min
   D. 9 hts 20 min

9. Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?

   A. 1/6
   B. 5/8
   C. 3/8
   D. 5/6

10. The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?

    A. 21
    B. 22
    C. 23
    D. 24