count the total number of ways of answering 6 objective type questions, each question having 4 choices

Find the value of \(\frac { 12! }{ 9!\times 3! } \)

Suppose 8 people enter an event in a swimming meet. In how many ways could the gold, silver and bronze prizes be awarded?

Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?

Prove that ¹⁵C₃ + 2 x ¹⁵C₄ + ¹⁵C₄ + ¹⁵C₅ = ¹⁷C₅.

There are six periods in each working day of a school. In how many ways can one arrange 5 subjects such that each subject is allowed atleast one period?

If the ratio 2nC₃: nC₃ = 11 : 1, find n.

Find the number of strings of 4 letters that can be formed with the letters of the word EXAMINATION?

How many triangles can be formed by joining 15 points on the plane, in which no line joining any three points?

If ⁿC₁₂ = ⁿC₉ find ²¹C_n.

If ⁹P_r = 3024 find r.

If ⁿP_r = ⁿP_r+1 and ⁿC_r = ⁿC_r-1 find n and r.

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected, if the team has no girls

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected, if the team has atleast one boy and one girl

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected, if the team has at least three girls