Determinants (p-1) — Maths (commerce) STD 11 Commerce / Arts — Question

Two cards are drawn from a pack of 52 cards. Find the probability that: both are diamonds.

Find the area of the triangle whose vertices are:

(iii) (0, 5), (0, -5), (5, 0)

Find the missing frequency given that the median of the distribution is 1504.

Life In Hours	950-1150	1150-1350	1350-1550	1550-1750	1750-1950	1950-2150
No. Of Bulbs	20	43	100	-	23	13

\text { Show that }(-1+\sqrt{ } 3 i)^3 \text { is a real number. }

A question paper has two sections. Section I has 5 questions and section II has 6 questions. A student must answer at least two questions from each section among 6 questions he answers. How many different choices does the student have in choosing questions?

Find the number of different ways of arranging letters in the word PLATOON if: consonants and vowels occupy alternate positions.