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Out of 18 points in a plane, no three are in the same straight line except five points which are collinear. How many (ii) triangles can be formed by joining them?
Concept: undefined >> undefined
How many different words, each containing 2 vowels and 3 consonants can be formed with 5 vowels and 17 consonants?
Concept: undefined >> undefined
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Solve the following systems of linear inequation graphically:
2x + 3y ≤ 6, 3x + 2y ≤ 6, x ≥ 0, y ≥ 0
Concept: undefined >> undefined
Solve the following systems of linear inequation graphically:
2x + 3y ≤ 6, x + 4y ≤ 4, x ≥ 0, y ≥ 0
Concept: undefined >> undefined
Solve the following systems of linear inequations graphically:
x − y ≤ 1, x + 2y ≤ 8, 2x + y ≥ 2, x ≥ 0, y ≥ 0
Concept: undefined >> undefined
Solve the following systems of linear inequations graphically:
x + y ≥ 1, 7x + 9y ≤ 63, x ≤ 6, y ≤ 5, x ≥ 0, y ≥ 0
Concept: undefined >> undefined
Solve the following systems of linear inequations graphically:
2x + 3y ≤ 35, y ≥ 3, x ≥ 2, x ≥ 0, y ≥ 0
Concept: undefined >> undefined
Find the number of ways in which : (a) a selection
Concept: undefined >> undefined
Find the number of ways in which : (b) an arrangement, of four letters can be made from the letters of the word 'PROPORTION'.
Concept: undefined >> undefined
Show that the solution set of the following linear inequations is empty set:
x − 2y ≥ 0, 2x − y ≤ −2, x ≥ 0, y ≥ 0
Concept: undefined >> undefined
How many words can be formed by taking 4 letters at a time from the letters of the word 'MORADABAD'?
Concept: undefined >> undefined
Show that the solution set of the following linear inequations is empty set:
x + 2y ≤ 3, 3x + 4y ≥ 12, y ≥ 1, x ≥ 0, y ≥ 0
Concept: undefined >> undefined
A business man hosts a dinner to 21 guests. He is having 2 round tables which can accommodate 15 and 6 persons each. In how many ways can he arrange the guests?
Concept: undefined >> undefined
Find the number of combinations and permutations of 4 letters taken from the word 'EXAMINATION'.
Concept: undefined >> undefined
Find the linear inequations for which the shaded area in Fig. 15.41 is the solution set. Draw the diagram of the solution set of the linear inequations:
Concept: undefined >> undefined
A tea party is arranged for 16 persons along two sides of a long table with 8 chairs on each side. Four persons wish to sit on one particular side and two on the other side. In how many ways can they be seated?
Concept: undefined >> undefined
Find the linear inequations for which the solution set is the shaded region given in Fig. 15.42
Concept: undefined >> undefined
Write \[\sum^m_{r = 0} \ ^{n + r}{}{C}_r\] in the simplified form.
Concept: undefined >> undefined
Show that the solution set of the following linear in equations is an unbounded set:
x + y ≥ 9
3x + y ≥ 12
x ≥ 0, y ≥ 0
Concept: undefined >> undefined
Solve the following systems of inequations graphically:
2x + y ≥ 8, x + 2y ≥ 8, x + y ≤ 6
Concept: undefined >> undefined
