Pigeonhole principle says that if you have more pigeons than pigeonholes, then at least one pigeonhole will get two pigeons. Use this principle to answer the ff. question: Dr. Cabatuan gives a multiple-choice quiz that has 10 questions, each with 5 possible choices, a,b,c,d,e. What is the least number of students that must be in his class in order to guarantee that at least three answer sheets must be identical? (Assume that no answers were left blank.) O 2.50 + 1 O 2.4° + 1 O 2.50 - 1 O 510 O None of the choices

Q: 8 15

A:

Q: 32 26

A: Use, sin(theta) = Perpendicular/Hypotenuse

Q: 54 22

A: Given figure,

Q: 11 7. Evaluate

A:

Q: 26 ÷ 22

A: Solve by squarring both side

Q: 18 43

A: Given,

Q: 5+45(669=

A: The given expression is 5+45669. Compute the value as follows.

Q: Evaluate 2 . ( 3 - 5 ) + 8 . 2 - 1

A:

Q: 7 items chosen 5 at a time

A:

Q: 37 2 2 4 4|5 6 8 4

A:

Q: 13 dと 2) xp 7-x2

A: Here we have to find the integral value.

Q: s): olicities: Behavior at x-axis: (through, bounce, flatten) 2. Divide. 4x-10x+5x-7x+1 -x+2

A:

Q: 6)270

A: Given data:   The given expression is 270/6.     The number 270 can be written as, 270=3×90=3×2×45

Q: 15) 105

A: Property of parallel line:

Q: 22 6

A: Find the angle x .

Q: 36 14

A:

Q: 62 28

A: A circle is given below as shown We have to find x°

Q: {A €R?x2 | tr(A) = 0} | tr(A) — 0}

A: Here we take a general matrix of the given set then find the basis.

Q: 2. 7. 58

A:

Q: 24 27 x 18

A: Two chords intersecting inside the circle and we need to find the value of x.

Q: Evaluate Lt

A:

Q: 5 23 4 48 1 5 75

A: Given       5  2 3 − 4 4 8¯      1  5 7 5

Q: 72 44

A: Given: In the right-angle triangle, assume that the missing angle is y So we know that the addition…

Q: -3n in

A:

Q: 15 39

A:

Q: (402-25)

A: Given: I=4θ2-25dθ We know that ∫x2-a2dx=x2x2-a2-a22logx+x2-a2+c…

Q: {n fan c) (wp

A:

Q: 20 . 35 60.

A: Given equation: 20=3560 Consider the missing term be 'x' 20x=3560 The objective is to find the value…