2023年9月17日 · Choose 2 Prizes from a Set of 6 Prizes. You have won first place in a contest and are allowed to choose 2 prizes from a table that has 6 prizes numbered 1 through 6. How many different combinations of 2 prizes could you possibly choose? In this example, we are taking a subset of 2 prizes (r) from a larger set of 6 prizes (n).

2025年3月11日 · Given two numbers n and r, The task is to find the value of nCr . Combinations represent the number of ways to choose r elements from a set of n distinct elements, without regard to the order in which they are selected. The formula for calculating combinations is :

2022年1月12日 · Sum of first n positive integers is (n + 1)n/2 (n + 1) n / 2 so (n+12)/ (n + 1 2) / The factorial manipulation always distracts people from the purpose. You have n n choices of a first object, n − 1 n − 1 choices of a second. But then if you pick A and B or B and A you should get the same answer, so you divide by 2 to correct for that double count.

2024年12月16日 · Given nC8 = nC2 If nCr = nCp then either r = p or r = n – p Thus, nC8 = nC2 8 = n – 2 8 + 2 = n 10 = n n = 10 Calculating nC2 Putting n = 10 10C2 = 10!/2! (10 − 2)! = 𝟏𝟎!/ (𝟐! 𝟖!) = (10 × 9 × 8!)/ ( (2 × 1)× 8!) = (10 × 9)/2 = 45

2009年5月23日 · when you have a question like nC2=6 solve for n n (n-1) (n-2)/2! (n-2)! = 6 = n (n-1)/2 = 6 n^2-n+12=0 factor (n+3) (n-4)=0 n=-3,4 **********n cant be...

2018年1月6日 · It says: Prove that: $ ^nC_0^2 - ^nC_1^2 + ^nC_2^2 - ^nC_3^2 + ... + (-1)^ {n} .^nC_n^2 $ = $ 0 $ or $ \frac { (-1)^ {n/...

If nC8 =n C2, find the value of nC2. If nC8 =n C2, then find n. If a =nC0 +nC3 +nC6+... b = nC1 +nC2 +nC4 +nC5 +nC7 +nC8+... c = nC1 −nC2 +nC4 −nC5+nC7 −nC8+...,

2024年8月13日 · nCr represents "n choose r," a concept in combinatorics that calculates the number of ways to select a group of items from a larger set without considering the order of selection. It is denoted mathematically as: nCr = n! / (r! (n - r)!) Where, "!" denotes factorial, which is the product of all positive integers from 1 to the given number.

2024年12月16日 · Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

asked Jul 26, 2021 in Combinations by Aeny (45.1k points) closed Jul 27, 2021 by AenyIf n + 1C3 = 2 (nC2), find the value of n.