Q1. Find the number of non-negative integral solutions of 2x + 2y + z = 10 Q2. The number of ways in which 3 balls of different colors are can be put in 3 boxes labeled A, B, C such that at most one box is empty is ? Q3. The number of natural numbers which are smaller than 2x10^8 and which can be written by means of digits 1 and 2 is : Q4. For 20 consecutives natural numbers, in how many ways can 4 numbers be selected, such that any two among the selected numbers differ by at least 3 Q5. In how many ways can 8 letters be posted into 5 letter boxes? Direction for Question 6 and 7 There are 6 boys and 4 girls sitting for a photo session. They were posing for the photograph standing in 2 rows one behind the other. There were 5 people sitting in the front row and 5 standing in the back row. 2 rows one behind the other. There were 5 people sitting in the front row and 5 standing in the back row. Q6. If the boys were divided equally among the front and back rows. In how many ways can the photo sessions be arranged? Q7. In how many ways could the photos be taken such that no two boys and no two girls are standing or sitting together? Q8. Four die are rolled. The number of possible outcomes in which at least one die shows 4 is : __________________
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Q4. For 20 consecutives natural numbers, in how many ways can 4 numbers be selected, such that any two among the selected numbers differ by at least 3
a. C (20, 3)/3
b. C (17, 4)
c. C (23, 4)
d. C (14, 4)
ans:
d. C (14, 4)
Q1. Find the number of non-negative integral solutions of 2x + 2y + z = 10
a. C (12, 2)
b. C (14, 4)
c. C (11, 2)
d. None of these
i am getting 21 not sure
Little sTAR
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Q2. The number of ways in which 3 balls of different colors are can be put in 3 boxes labeled A, B, C such that at most one box is empty is ?
a. 6
b. 24
c. 18
d. 36
ANS IS 24
Little Star
n/a
Q4. For 20 consecutives natural numbers, in how many ways can 4 numbers be selected, such that any two among the selected numbers differ by at least 3
a. C (20, 3)/3
b. C (17, 4)
c. C (23, 4)
d. C (14, 4)
ans is (d)
Little Star
n/a
Q5. In how many ways can 8 letters be posted into 5 letter boxes?
a. P(8,5)
b 5^8
c. 8^5
d. 5^6
ans is 5^8
Little Star
n/a
Q8. Four die are rolled. The number of possible outcomes in which at least one die shows 4 is :
a. 671
b. 168
c. 176
d. None of these
i am getting 864
4c1 * 6 *6*6
Little Star
n/a
There are 6 boys and 4 girls sitting for a photo session. They were posing for the photograph standing in 2 rows one behind the other. There were 5 people sitting in the front row and 5 standing in the back row. 2 rows one behind the other. There were 5 people sitting in the front row and 5 standing in the back row.
Q6. If the boys were divided equally among the front and back rows. In how many ways can the photo sessions be arranged?
a. 5! X 5!
b. C (6, 3) x C (4, 2) x 5! X 5!
c. C (6, 3) x C (4, 2) x 10!
d. C (6, 3) x C (4, 2) x 5! x 5! x 2!
ans is d. C (6, 3) x C (4, 2) x 5! x 5! x 2!
Q7. In how many ways could the photos be taken such that no two boys and no two girls are standing or sitting together?
a. C (6, 3) x C (4, 2) x 10!
b. C (6, 3) x C (4, 2) x (3!)^2 x (2!)^2
c. C (6, 3) x C (4, 2) x (5!)^2
d. None of these
ans is b. C (6, 3) x C (4, 2) x (3!)^2 x (2!)^2
Little Star
n/a
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