math 24 competition

From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be don..

Question: Twelve students are participating in a competition. In how many ways can the first 3 prizes be won? Answer: Number of students participating in the competition = 12 The number of ways in which the first three prizes can be won = P (12,3) = 12 x 11 x 10 = 13..

Question: From a class of 12 boys and 10 girls, 10 students are to be chosen for a competition, including atleast 4 boys and 4 girls. 2 girls who won prizes last year should be included. In how many ways the selection can be made? Answer: There are 12 boys and 10 girls in the ..

\ A + B = B + A \ A + B = B ..

Circular Permutations - When things are arranged in places along a line with first and last place, they form a linear permutation. So far we have dealt only with linear permutations. When things are arranged in places along a closed curve or a circle, in which any place may be regarded as the first..

These can be inserted between a and b. b. To find the sum of n arithmetic means between the two given quantities: Let the two quantities (numbers) be a and b. The required sum = A 1 + A 2 + A 3 + ---- + A..

i) 1.2 + 2.4 + 3.8 +.... to n terms The n t h term of (1,2,3,....n) is n. The n t h term of (2,4,8,...) is The n t h term of the given series is n2 n Subtracting (ii) from (i), we have ..

The age (in years) of people participating in a swimming competition are 28, 26, 22, 30, and 24. Find the median of the data. => 27 years or 22 years or 30 years or 26 years..

The age (in years) of 5 people participating in a swimming competition are 28, 26, 22, 30, and 24. Find the median of the data. => 26.5 years or 30 years or 26 years or 27 years..

The ages of 7 people participating in a competition are 23, 26, 27, 26, 29, 24, and 28. Find the median age of the participants. => 23 years or 27.5 years or 26.5 years or 26 years..