Mathematics

Combinations

Combinations refer to the selection of items from a larger set where order does not matter, calculated using nCr = n! ÷ (r! × (n-r)!) formula. They're essential for probability and statistics to find the number of ways items can be chosen. ScanSolve shows each calculation step-by-step for any combination problem.

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How to Approach Combinations

Enter values for n and r

Input the total number of items (n) and the number to choose (r) to get started.

Apply the combinations formula

Calculate using nCr = n! ÷ (r! × (n-r)!) to find the number of combinations.

Review the solution steps

Examine each step of the calculation, from factorials to the final result.

Recently Solved Mathematics Questions on ScanSolve

Real Mathematics questions students solved this week. Every one has a step-by-step solution.

Find the L.C.M of 24

To find the L.C.M. (Least Common Multiple) of a single number, such as 24, it is simply the number itself. So, the L.C.M. of 24 is 24.

. Find the equation of the line passing through the intersection of the lines x+y=5 and 2x-y-7=0, and parallel to x-axis

To find the equation of the line passing through the intersection of the lines \(x + y = 5\) and \(2x - y - 7 = 0\), and parallel to the x-axis, follow these st

"What is the derivative of x²?"

Step 1: Identify the function. The given function is f(x) = x2. Step 2: Apply the power rule for differentiation. The power rule states that if f(x) = x^n

"What should be added to (8)/(14) to get (-2)/(7)?"

Step 1: Understand the question. The question asks: "What should be added to (8)/(14) to get (-2)/(7)?" Let the number to be added be x. So, we ca

(11)/(100) = 0.11

Here are the fractions changed to hundredths: (11)/(100) = 0.11 (22)/(100) = 0.22 (59)/(100) = 0.59 {

;fn 1+2+3+4+…….+10 = 55 gks] rks 6+12+18+………..+60 dk ;ksxQy cjkcj gksxkA

Step 1: दी गई श्रृंखला को पहचानें। 6 + 12 + 18 + + 60 = 6(1 + 2 + 3 + + 10) Step 2: दिया गया है कि 1 + 2 + 3 + + 10 = 55

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Frequently Asked Questions

What's the difference between permutations and combinations?+

Permutations consider order; combinations do not. Use combinations where order isn't important.

How are combinations used in probability?+

Combinations help determine the likelihood of an event by calculating the ways outcomes can occur without regard to order.

What does nCr mean?+

nCr represents the number of combinations possible for choosing r items from n without considering order.

Stuck on a Combinations problem?

Snap a photo or type the question. ScanSolve walks you through every step — same as the worked examples above. 5 free solves per day, no card required.

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