math b topics

Question 1 - Question: From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done? Answer: We are to select 4 students from 32. This selection can done ..

i.e., if A, B, C are 3 matrices, then (A + B) + C = A + (B + ..

If two matrices A and B are not of same order, A + B and A - B are not define..

A sequence is called finite if the number of terms is finite. A finite sequence has always a last ter..

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Question: There are three different rings to be worn in 5 fingers with at most one in each finger. In how many ways can this be done? Answer: For the first ring, there are 4 options as one finger cannot have more than one ring. The remaining two fingers will have 3 and 2 options respect..

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 = 1320 Hence, 12 student..

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We have 3A - 2B = 3A+(-2)B..

If A and B are two invertible matrices of the same order, then (AB) - 1 = B - 1 A - 1..