MEF HIGH SCHOOL
ACADEMIC YEAR OF 2023-2024
10TH GRADE
Date
19.09.2023
MATHEMATICS
1ST QUIZ
NAME: ………………….
1. Calculate
CLASS:………………………..
𝑷(𝟓,𝟐)+𝑷(𝟔,𝟒)
𝑷(𝟕,𝟐)
3. Find the result of
(7 PTS)
𝟏𝟎!−𝟗!
𝟕!
(7 PTS)
2. Simplify
𝒏!+(𝒏−𝟏)!
(𝒏+𝟏)!
(7 PTS)
4. (𝟏𝟎! + 𝟏𝟏!) ⋅ 𝒎 = 𝟏𝟐!
⇒ 𝒎 =?
(7 PTS)
5. From a menu which serves 4 salads 5 main dish and 3 deserts how many different
dinner with 3 course can be made? (5PTS)
6. There are 3 road from city A to city B and there are 5 roads from city B to city C and
also there are 4 roads from A to C. How many possible routes you can choose to go
from A to C (7 PTS)
7. In how many different ways 3 different math, 4 different physics and 2 different
history books be arranged on shelf; (6 PTS EACH)
a) without any condition
b) so that math books are together
8. In how many ways can three doctor and four nurses be arranged in a row such that
a doctor is between two nurses? (8PTS)
9. How many different 4-digit number can be formed by using the elements of set
A={0,6,7,8,9} (7 PTS EACH)
a) without any condition
b) if repetition is not allowed
10. How many different 3-permutations can be formed by using the letters {a,b,c,d,e,f,g}
(4 PTS EACH)
a) without any condition
b) contains b
c) contains c and d but not a
d) contains c or d
11. Numbers are written is ascending order by rearranging the digits of the number 12389.
Find the summation of 48th and 49th numbers. (10PTS)