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Quizzes

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Exam:
166 quizzes
Without multiplying out, find (9!)/(7!). New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Easy
How many 3-letter codes can be formed from the letters P, Q, R and S, using no letter twice? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
Two-digit numbers are formed from the digits 1 to 6, and digits may repeat. How many of them are odd? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
Which expression is equal to 10 × 9 × 8? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
A test has 6 multiple choice questions with 3 options each. Every question is answered. In how many ways can the answers be filled in? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
For which natural number n is (n + 1)! = 20 × (n - 1)!? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Hard
A club of 7 members picks a president, a secretary and a treasurer, three different people. How many choices of office holders are there? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Easy
Which expression equals ¹⁰P₃? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Easy
Codes of 3 letters are made from the letters A, B, C, D, E and F, and a letter may be used again. How many codes are there? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Easy
Neel shuffles the five letter cards L, E, V, E, L into a row. How many different rows, meaningful or not, can he get? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
Five children stand in a line, and three of them are siblings who must stand next to each other. How many lines are possible? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
Five guests sit in a row. Two of them have quarrelled and must not sit side by side. How many seatings are possible? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
Pooja writes odd three digit numbers using only the digits 2 to 8, never one digit twice in a number. How many can she write? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
For which whole number n is ⁿP₂ = 42? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Easy
Kavya may invite 3 of her 8 cousins to a film. How many different groups of guests can she invite? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Easy
For which value of n is ⁿC₂ = 45? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Easy
Two of the 24 pupils in a class are chosen to water the plants together. In how many ways can the pair be chosen? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
A shelf holds some different books. Picking 7 of them can be done in exactly as many ways as picking 5. In how many ways can a pair of books be picked from the shelf? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
Which single term equals ¹⁰C₆ + ¹⁰C₇? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
Arun marks 12 dots on a page. Four of the dots sit in a straight row along a ruler's edge, and no other three dots are in a row. How many triangles can he draw with corners at the dots? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
A relay squad of 5 is picked from 9 swimmers, and the captain, Ojas, must be in it. How many squads are possible? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
From 5 boys and 3 girls, 3 children are chosen for a debate. How many choices include at least one girl? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
Zoya picks 2 of 8 novels and 3 of 5 books of poems to read this month. In how many ways can she pick? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Medium
Codes of 3 different letters are made from the letters of PLANETS. Each code uses both vowels and one consonant. How many codes are there? New
High School (11–12) · Permutations and Combinations
Board Exam, A-Level, IB
StemPy LabStemPy Lab
Hard
An acute angle θ satisfies √3 tanθ = 1. How big is θ? New
High School (9–10), General · Trigonometric Identities
Board Exam, AP, A-Level, IB
StemPy LabStemPy Lab
Medium
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