Combinations and Properties of nCr

JEE Main Mathematics · Permutations and Combinations · 14 questions, latest first

• A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each…20265 April, Shift 2 · Q9
• Let S denote the set of 4-digit numbers a b c d such that a>b>c>d and P denote the set of 5 -digit numbers having product of its…202623 January, Shift 2 · Q22
• The number of strictly increasing functions f from the set \{1, 2, 3, 4, 5, 6\} to the set \{1, 2, 3,...., 9\} such that f(i) ≠ i…202621 January, Shift 1 · Q6
• From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and…20257 April, Shift 1 · Q8
• Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can…202524 January, Shift 2 · Q10
• From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in…202522 January, Shift 1 · Q7
• There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selected from each group, then the…20244 April, Shift 2 · Q24
• If for some m, n;^6 C_m+2(^6 C_m+1)+^6 C_m+2>^8 C_3 and ^n-1 P_3:^n P_4=1: 8, then ^n P_m+1+^n+1 C_m is equal to202431 January, Shift 2 · Q6
• In an examination of Mathematics paper, there are 20 questions of equal marks and the question paper is divided into three…202430 January, Shift 2 · Q23
• Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a…202310 April, Shift 1 · Q24
• Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A × B each having at least…20238 April, Shift 1 · Q1
• If ^2 n C_3:^n C_3=10: 1, then the ratio (n^2+3 n):(n^2-3 n+4) is20236 April, Shift 1 · Q5
• Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the…202325 January, Shift 2 · Q82
• A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at…202324 January, Shift 1 · Q85